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Sportin' a fresh suit, some fancy shoes and a bachelor mind-set, Michael Douglas caught a flight in France yesterday ... just days after reports surfaced that he separated from his wife.

68-year-old Douglas and 43-year-old Catherine Zeta-Jones haven't been photographed together since April -- fueling speculation the two are calling it quits on their 13-year marriage.

As for Catherine, she's reportedly been hangin' in New York with the couple's 2 kids.

No word on where Douglas was headed yesterday -- but that's a pimp suit, right?

With his junk firmly tucked into a snug mankini, LMFAO frontman Redfoo ran around the beach in Australia this week ... in search of ... pants, maybe?

According to photographers on the scene, Red also knocked out some yoga on Bondi Beach while shooting a new ad for his clothing line.

Fun Fact -- In Australia, mankinis are referred to as "budgie smugglers."

Mel Gibson went to dinner with the son of the RICHEST MAN IN THE WORLD last night ... in Mexico ... and no one was abducted. Hooray!

Gibson's dinner date was Carlos Slim Domit, eldest son of Carlos Slim Helu ... whose reported net worth is $73 BILLION. (Bill Gates is a close second with $67 billion).

Mel and Carlos Jr. were photographed on their way out of a fancy restaurant called Casa Anis in an upscale neighborhood of Mexico City called Polanco.

It's unclear how they know each other or what they talked about at dinner -- but we hear the restaurant has great crab cakes. So, there's that ...

Simon Cowell was being smothered by his pregnant baby mama Lauren Silverman in public during a beach trip in St. Tropez this week ... which means one of two things.

1) Simon has finally come to terms with fatherhood and wants to show everyone how much he cares about Lauren.

2) He's totally passed out

Khloe Kardashian hasn't given up on her marriage to Lamar Odom ... at least publicly ... because she's still wearing her wedding ring.

Khloe was on her way out of a medical building in L.A. Monday when the photo was taken -- and while it's obvious she was trying to hide her face, she was clearly NOT trying to hide her symbolic commitment to her husband.

Lamar Odom is wearing the stress of his marriage -- and possibly his NBA career -- falling apart as he battles addiction to hardcore drugs ... and TMZ has the first photos of him in several days.

Lamar's face looked gaunt when he was spotted Monday afternoon driving his SUV around the San Fernando Valley ... not far from his home with Khloe Kardashian.

As TMZ first reported ...Khloe kicked Odom out of the house last Wednesday when he rejected her attempt to stage an intervention -- hoping to convince him to get treatment for his addiction to crack cocaine.

But 2 interesting signs from Lamar's outing Monday -- he was still wearing his wedding ring ... and he was spotted driving into the gated community where he and Khloe live.

Soooo ... Joe Rogan works out.

The UFC announcer went shirt-off at the beach in Hawaii this weekend ... proving Carrot Top ain't the only comic who knows his way around the weight room.

Fun Fact -- Rogan also happens to be a black belt in Brazilian jiu-jitsu ... which is why we're immediately issuing the following apology for comparing him to Carrot Top.

Sorry Joe.

Screw the VMAs ... Demi Lovato spent her Sunday diving face first into a jumbo Disneyland TURKEY LEG ... and looked damn good doin' it.

If you didn't know ... the smoked Dland turkey leg is a park ICON, weighing in at 1.5 pounds. In fact it's sooooo tasty some conspiracy theorists think it's made of dead emus.

Mmmmm Emu.

Here's Tom Brady casually paddling away in a kayak over the weekend ... and GIVING ALL OF BOSTON A FRIGGIN' HEART ATTACK!!!

Before you accuse us of sensationalizing the situation, consider this fact -- back in 2009, Brady had to be RESCUED from the Charles River after falling out of his Kayak while goofing around with some friends.

After the rescue, Brady thanked the woman who fished him out of the water ... telling her, "You saved my life."

Despite the risks -- and with NFL opening day less than 2 weeks away -- Brady got back into the Charles River with his wife Gisele and son Ben on Saturday.

Fortunately, everyone emerged from the water healthy and happy.

Meanwhile, it's the Jets who seem to be drowning these days ...

Simon Cowell, Lauren Silverman and their unborn spawn are making it official ... stepping out together for the first time IN PUBLIC since news of their relationship broke.

The pic was snapped in the South of France Saturday -- where the two are vacationing together amidst other rich people ... looking carefree and happy.

Dear Mexican drug cartels,

Here is Kate Beckinsale ... in a bikini ... in Mexico.

Please don't behead her.

Wanna wade in the same lazy river where Celine Dion (and her kids) probably peed ... well, if you have $72 MILLION ... fire up your bladder, 'cause her famous water park mansion is up for grabs.

You know the house ... it's the one in Jupiter Island, Florida with two awesome water slides, a bridge over a lazy river and badass watergun stations. It's pretty incredible.

Now for some stats -- 5.7 acres, 10,000 square feet, 5 bedrooms, 5 baths (an additional 8 bedrooms in the guest house) -- plus, a master closet that any woman (and most men) would KILL for!!!

We're talkin' automated racks for clothing AND an automated carousel for all of your stupidly expensive shoes.

Plus, if you get sick of the water park (why would you get sick of the water park?) the home is right on the beach ... so you can frolic right to the ocean ... and pee in that, too.

Good news, single heterosexual men and/or lesbians: Eva Longoria (the sexiest 38-year-old woman on Earth) is now officially single.

Sources tell TMZ, the former "Desperate Housewives" star split from boyfriend Ernesto Arguello this week after dating for roughly 4 months.

The two met while Longoria was producing her dating show "Ready for Love." Ernesto was a bachelor on the program, but after the show went off the air, Eva decided to take Ernesto for herself.

Eva and Ernesto were spotted canoodling in Spain as recently as two weeks ago (above), but once they got back to L.A., we're told they decided their busy lifestyles just didn't mesh.

Eva spends most of her time in L.A., and Ernesto is situated primarily in Miami, so they decided it would be better to split. But some sources aren't convinced it's completely over -- as one source put it, "They're just on hold right now."

Translation: if you want to scoop Eva up, you better act fast.

Less than a week after celebrating her 55th birthday ... Madonna ventured out in Rome Wednesday wearing a shiny gold grill piece.

2005 called ...

Lindsay Lohan is fiercely defending her decision to hang with a friend who has an even more checkered past with drugs than her, and actually thinks it's a positive step for her recovery -- problem is ... she's delusional.

Sources close to Lindsay tell TMZ ... she doesn't understand why her shopping trip with Vikram Chatwal would raise concerns she's hanging with a bad crowd, and putting herself in danger of a relapse.

As we previously reported ... Chatwal was busted for drug possession in April, but avoided jail by agreeing to 12 months of in-patient rehab.

We're told Lindsay thinks Vikram is good company because, like her, he's been through several rehab stints ... and is currently in recovery.

Here's the flaw in that argument ... multiple drug counselors -- from reputable clinics -- tell us Lindsay's playing with fire by hanging with old friends connected to her partying ways.

Most counselors told us ... it's "not recommended" for recovering addicts to hang with another addict -- especially if it's been a short stretch since they got out of rehab.

Lindsay's been out for 22 days, and while it's unclear when Vikram was last in treatment ...his drug bust was just 4 months ago. Not to mention, neither volunteered for rehab, but had to be forced by a judge.