The 2008 Broadway show features music and lyrics by Brown with a book by Dan Elish and Robert Horn.
It tells the story of Evan Goldman who, about to turn 13 and preparing for his bar mitzvah, struggles with the move to a new school in the wake of his parents' divorce.
The musical held its world premiere in Los Angeles in 2007 before transferring to Broadway a year later running for just over 100 performances.
The production was notable for its all teenage cast and and band, plus featuring the professional debuts of Ariana Grande and Elizabeth Gillies.
13 ran in the West End in 2012 at the Apollo Theatre with a West End Cast Recording released.
According to Deadline, Netflix is now set to adapt the film for its streaming service.
Horn will write the screenplay while Brown will compose new songs. Direction will come from Tamra Davis with casting and a release date to be confirmed.