Natalie Portman and Ashton Kutcher in ‘No Strings Attached’ Red Band Trailer

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Natalie Portman may as well be crowned Princess of Fame for the month of January 2011.

The star is gracing the January cover of Vogue magazine in a breezy retro pink frock and this month’s Elle Canada with saucy windblown tresses and a flirty yellow dress. She’s announced she’s pregnant and engaged. Brothers, the film for which she was nominated for the Saturn Award for Best Actress, is out on DVD; Black Swan, which opened in December, is feeding Oscar buzz (and she looks stunning on the cover of Entertainment Weekly’s Oscar Race edition); and comedy, Your Highness, and hero flick, Thor, are both due out this year. Fandango anticipates Portman will be the sexiest actress of 2011, and around the interwebs her trailer for The Other Man is making its rounds.

You might not believe it, but she even has a film to debut January 21st. It is No Strings Attached and we have the Red Band trailer. Just click play below to enjoy.

Yes, Portman gets naked for the film, and yes, the premise is stunningly similar to her Black Swan co-star Mila Kunis’s upcoming film Friends with Benefits, as CinamaBlend noted, too. But the actress won’t bare all for the screen. “I just don’t want to do something that will end up as a screen grab on a porn site,” she said, according to CBS.

Portman may not know a thing about upcoming Batman or Superman pictures, but I wonder what she learned about her co-star Ashton Kutcher while they filmed the rom-com together. Thanks to CinemaBlend for the trailer!