To simplify the expression \( 1310 \cdot 134 \) using the Product Rule of Exponents, we need to recognize that \( 1310 \) is the same as \( 13^{10} \) and \( 134 \) is the same as \( 13^{4} \).
Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we have:
\[ 13^{10} \cdot 13^{4} = 13^{10 + 4} = 13^{14} \]
Thus, the correct simplification of the expression is:
\[ \boxed{13^{14}} \]