To simplify the expression \( 1310 \cdot 134 \) using the Product Rule of Exponents, we can add the exponents of the same base, which is 13 in this case.
The Product Rule states that \( a^m \cdot a^n = a^{m+n} \).
Here, we can rewrite the expression as:
\[ 13^{10} \cdot 13^{4} = 13^{10 + 4} = 13^{14} \]
So, the simplified expression is:
\[ 13^{14} \]
Thus, the correct response is:
\( 13^{14} \) (which corresponds to the option \( 1314 \)).