There are no other numbers that qualify through the 10000th Fibonacci number (which has 2,090 digits).
Table of n, a(n) for n=1..5.
13 is the 7th Fibonacci number. It is prime and its reversal, 31, is also prime.
Select[Fibonacci[Range], PrimeQ[ # ]&&PrimeQ[FromDigits[Reverse[IntegerDigits[ # ]]]]&]
Sequence in context: A041639 A006985 A042907 * A173654 A126333 A266192
Adjacent sequences: A115344 A115345 A115346 * A115348 A115349 A115350
Harvey P. Dale, Mar 07 2006