Kleinbort will direct the show, which features musical direction by Paul Greenwood. An official opening is set for December 11.
Based on the play by Jeffrey Hatcher, 13 Things about Ed Carpolotti is the story of a widow who finds out that her late husband left them in perilous debt to shady bankers, mobsters, and embezzlers.
A three-time Tony Award nominee, Fuller's Broadway work includes Barefoot in the Park, Cabaret, Applause, The Dinner Party, and Dividing The Estate.
She won the Emmy Award for her work in the ABC-TV adaptation of The Elephant Man and has been nominated five other times, including for her work as Mae in PBS' production of Cat on a Hot Tin Roof.