Let $n$ be the product of the two smallest 3-digit prime numbers.  Find the sum of the digits of $n$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $n$ be the product of the two smallest 3-digit prime numbers.  Find the sum of the digits of $n$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8
Let $n$ be the product of the two smallest 3-digit prime numbers.  Find the sum of the digits of $n$.
train