Valentine's Day... Crazy Nuggets

Soumyadeep takes his friend to Mainland China on the occasion of Valentine's Day. He wants to buy her as many Chicken Nuggets as she wants. But she is smart enough... And asks Soumyadeep to buy her $n$ Chicken Nuggets, where $n$ is a positive integer. And, in Mainland China, Chicken Nuggets are available only in packages of 13 or 17. Now, she had actually calculated that $n$ is the largest integer such that there is NO WAY for Soumyadeep to buy her exactly $n$ Nuggets. Then find that integer $n$ which troubled Soumyadeep so much on Valentine's Day!!