What is the next term of this sequence?

What is the next number?

$$2,3,10,12,13,20,?$$

• Please cite the source of this puzzle. (A quick Google search shows this isn't your own puzzle) – Greg Jan 25 at 14:24
• @Greg well, it was a math teacher I had 5 years ago that told me, I picked it up from there... do I need to cite him as a source? – J. Dionisio Jan 25 at 14:26
• Ahh, in that case, I would say no. – Greg Jan 25 at 14:27

• dang it, that was quick! Adapted it from my language, where the sequence would be: $$2,10,12,16,17,18,19,200$$ – J. Dionisio Jan 25 at 14:24