Try the Warriors series by Erin Hunter! ^.^ Me and a bunch of my friends were obsessed with it when we were 13. It's about forest cats in different clans...it might sound boring, but it's really interesting! ^.^
I just finished Divergent. Also read the fault in our stars, looking for alaska (Kinda a riskaayy book but it is really good.), Hunger games series, the outsiders, the giver series, the city of ember series
I am also thirteen, and love to read, so I'll tell you some books I have enjoyed reading. *Sidekicks by Jack D. Ferraiolo *Alex Rider series by Anthony Horowitz *A Series of Unfortunate Events by Lemony Snicket *I Hunt Killers by Barry Lyga (and pretty much ANY other book by him) *I Am Number Four by Pitticus Lore *A Hitchhikers' Guide to the Galaxy by (I forget the author) *The Outsiders by S.E. Hinton (get this--the author is a lady!) *N.E.R.D.S. Series by Michael Buckley (It's kind of an easy-read series, but I liked it) *Ignatius MacFarland: Frequenaut! by Paul Feig *Wonder by (I think--this is all out of memory!) R.J. Palacios? *Lord of the Flies by William Golding (kind of a hard read, but the story is worth it) *Popular Clone by M.E. Castle *The Watsons Go To Birmingham by Christopher Paul Curtis (seriously funny, even though it's historical fiction)
Those are all the books that come to mind, and you should definitely try them all, because they are excellent reads.
Try this book, Bible Manga. It's a Bible alright but in an illustrated form in Japanese-style manga. Surely, any 13-teener will appreciate it. By the way, it covers both the Old and the New Testaments. You'll be amazed on the works to that book.
I would like to suggest the book Secret of the Andes by Ann Nolan Clark. This is an older Newbery Medal award winning book. It is about a modern Inca boy who herds llamas in the mountains of Peru. I did not read this book until I was taking a children's literature course in college. Some of the Newbery award books are quite interesting even for adults. Just ask your local library for a list of Newbery winners past and present.