Yeah, once you hit lvl 13 your xp will show 0/0 when you unlock the full game by entering you Serial you will then start on the way to lvl 14. Only thing is while your using starter edition you can only play with other people on started but in all honesty considering how many times we finished the beta playing with other is really not high on my list for that section.
Don't you envy me then, I haven't played beta at all so Diablo 3 from the beginning is all new to me. I get to experience all of it for the first time, you on the other hand have to redo something you have done and seen before. No surprises for you...
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