Anthony Weiner’s young sexting partner Sydney Leathers has taken on representation and is busy booking gigs. The 23-year-old is being managed by Gina Rodriguez’s GR Media Firm, which is known for repping “personalities” such as Kris Humphries’ ex gal pal and Kim Kardashian look-alike Myla Sinanaj, “Tan Mom” Patricia Krentcil and former “Anna Nicole Show” oddity Bobby Trendy. Leathers will be in town today, and we hear she’ll appear on Howard Stern’s show tomorrow. On Wednesday, she’ll do a photo shoot for Apparel NY’s line of . . . leather. Sydney has said of her sexting fling with mayoral candidate “Carlos Danger,” “I cared about him a lot. He was very important to me.”