Please cite evidence for "a lot longer than thirteen billion years" from a refereed journal. Any such evidence would certainly be of interest. It's only my opinion that the universe goes on much farther than we know, so predicting its age is not possible. If there are galaxies 100 trillion light years away we can't see, then that means the universe is at least 100 trillion years old.
If you suggest the size of the universe is 100 trillion years, you run into Olber's Paradox again. Things just don't look that way.