Patrick Schwarzenegger -- Keeping His Eye on the Mall

7/12/2011 3:45 PM PDT

Patrick Schwarzenegger -- Keeping His Eye on the Mall

Arnold Schwarzenegger's 17-year-old son Patrick is laying low for the summer -- and by "laying low," we mean the opposite ... working a high-profile internship at L.A.'s infamous outdoor mall, The Grove.

According to sources, Arnie is good pals with real estate tycoon Rick Caruso -- the developer who built the celebrity-filled shopping center -- and when Patrick said he was interested in mall management, Rick offered him the summer gig.

But Patrick won't be fetching coffee for people -- we're told he's getting a special crash course in bigwiggery, including running a massive shopping center, from security to public relations ... and he's already doing rounds with one of Caruso's top managers.

It's unclear if the position is paid or not -- but with his parents' combined wealth of about $400 million ... he probably doesn't need the money.