It wasn't just the men in scary masks; it wasn't the jewelry; it wasn't only fearing for her life -- as if that weren't bad enough -- Kim Kardashian told French police she feared she was going to be raped by the vicious intruders who broke in to her Paris apartment Sunday night.

The robbers bound her hands, and gagged her -- they also bound her feet ... and that's when she felt she would be sexually violated, she said in her police report. She had been lying in bed, wearing only her robe. As she heard the two men pounding up the stairs of the building, she reached for her cell phone to call her bodyguard, but the men got to her before she could complete the call.

She begged the men not to kill her, telling them she has babies. She told them she had money and to take whatever they wanted, according to TMZ.

Thank god she made it out unharmed - Kanye rushed to her side and you know the rest. Kim's in New York now, with West and her babies and about a million security guards surrounding their apartment building.

And X17online can report, exclusively, that Kim is preparing to head to Dubai for an October 14 appearance. She'll participate in a master class with her makeup artist Mario Dedivanovic for a Makeup by Mario tutorial. As her 36th birthday is the 21st, she'll also be celebrating early in the United Arab Emirates city. No doubt, her security details will be on high alert.

Meanwhile, sis Kourtney returned to LA Monday afternoon, looking serious and concerned. She was also surrounded by bodyguards ...