Disgraced UK royal Prince Andrew is facing calls to be stripped of his Duke of York title — as it also emerged he could face further exposés because he did not get an NDA when he settled with his sex accuser.

The 61-year-old prince’s settlement Tuesday with accuser Virginia Roberts Giuffre was assumed to have been made to finally silence her ruinous accusations that she was forced to have “disgusting” sex with him three times, starting when she was just 17.

But despite sources telling The Post that the deal cost him at least $12 million, “there’s no NDA” to stop his accuser from still talking, Giuffre’s attorney, David Boies, told the Sun.

Royal biographer Angela Levin told the UK paper that it left the accuser free “to write a book about herself — or broadcast about herself as she sees fit.”

“If that’s the case, it could drag on and on,” Levin said of Giuffre’s long-running allegations that have already left Andrew cut off from royal duties and even the title His Royal Highness.

“The sort of smell will stay with Andrew and the royal family. There’s no clean-cut end,” she said of the royal’s ties to late pedophile Jeffrey Epstein and convicted madam Ghislaine Maxwell.

Andrew’s deal also included a substantial donation to Giuffre’s charity for sex crime victims. Sources told the Telegraph that the final tally could be more than $16 million — at least part of which will be money from Andrew’s mom, Queen Elizabeth II.

It has also sparked calls for Andrew to finally lose one of his few remaining honors, his Duke of York title.

Rachael Maskell, a member of Parliament (MP) for York, told local paper The Press that the duke’s years-long scandal has “been a source of deep hurt and embarrassment to many people across the city.”

“Carrying a title does create an ambassadorial relationship with that place, and for somewhere with a global reputation, such as York, this is extremely important,” she said.

Maskell called on Andrew to step aside as a sign of “his seriousness” about the pledge he made to fight the “evils” of sex trafficking — as well as a mark of “his respect” for residents of York, where a recent poll showed 88 percent of locals want to cut ties with him, The Press said.

“I would ask that his first act of contrition is to confirm his support for the withdrawal of his ducal title,” the Labour MP said.

A senior local council member, Darryl Smalley, also called for Andrew’s peerage to be yanked, recruiting other MPs to help the fight.

“Having been stripped of his military roles and royal patronages by the Queen, this should be the end of his direct link with our great city,” he told The Press.

Andrew has always vehemently denied the claim, only admitting in his settlement that Giuffre has suffered as an “established victim” of sex abuse.

“It is known that Jeffrey Epstein trafficked countless young girls over many years. Prince Andrew regrets his association with Epstein, and commends the bravery of Ms. Giuffre and other survivors in standing up for themselves and others,” a letter in the settlement said.

Giuffre, now a 38-year-old mom, appeared to enjoy low-key celebrations at home in Australia — getting a delivery of beers and coming home with what appeared to be a cake, the Times of London noted.

While collecting the beers, Giuffre’s husband, Robert, told reporters waiting to see his wife, “You’re wasting your time.”