This number is a composite.
The smallest composite Fibonacci number not divisible by a Fibonacci prime. [Honaker]
The smallest composite Fibonacci number with a prime index. [Gupta]
4181 is the smallest semiprime Fibonacci number whose reversal is a different semiprime. [Post]
The smallest Frobenius pseudoprime with respect to the
Fibonacci polynomial x^2-x-1. [Luen]
The smallest semiprime Fibonacci number with emirp factors, i.e., 37 * 113. [Honaker]