WWW- Monaco's Prince Albert is said to be eager for an heir - even if he's in no hurry to find out whether he really is the father of a 13-year-old girl in California.

Representatives of the prince - whose father, Prince Rainier, was buried Friday - are quietly approaching well-born women in Europe and America with an unusual proposal, we hear.

The discreet go-betweens are said to be asking members of other royal families and carefully vetted socialites if they might be interested in "un mariage blanc." In other words, our source makes clear, the would-be bride "wouldn't face too much time in the same bed. The contract would require a minimum of two male children, preferably three. But that could be accomplished through in vitro fertilization."

"In exchange, the bride would get a trust - it could be as much as $100 million. She might get some of the jewelry of his mother, Princess Grace. And she'd get to be princess!"

Among those said to be on the palace's wish list are such upper crust American beauties as Elizabeth Koch, Cornelia Guest, Amanda Hearst and Lauren Bush. If he can't snag one of those, it's said, he might fall back on an actress or a model.

"Albert wants to announce an engagement before the end of the year," asserts our source.

Though gay rumors have dogged the 47-year-old bachelor, at least one American woman contends he's quite straight.

Former waitress Tamara Rotolo claims she had a two-week affair with Albert in Monte Carlo in 1991 that resulted in the birth of a daughter, whom she's named Jazmin Grace Grimaldi.

In 1992, Rotolo filed a paternity suit in L.A. Superior Court, in which she asked a judge to order Albert to provide a blood sample. Albert's attorneys argued that the case didn't belong in California, and it was eventually dismissed.

Albert acknowledged in court papers, "I was briefly acquainted with the plaintiff" but did not confirm or deny he was Jazmin's father.

The palace declined all comment, and Rotolo's lawyer didn't return a call.