To simplify the expression \( 13\sqrt{27} \), we first simplify the square root:
- \( \sqrt{27} \) can be broken down into \( \sqrt{9 \times 3} \) which is \( \sqrt{9} \times \sqrt{3} = 3\sqrt{3} \).
So, we can rewrite the expression:
\[ 13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3}. \]
Thus, the simplified form is \( 39\sqrt{3} \).
Among the response options you provided, the correct answer is:
\[ 39\sqrt{3}. \]