131118404316131 has 2 divisors, whose sum is σ = 131118404316132. Its totient is φ = 131118404316130.

The previous prime is 131118404316103. The next prime is 131118404316139. The reversal of 131118404316131 is 131613404811131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131118404316131 is a prime.

It is a super-2 number, since 2×131118404316131² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (131118404316139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65559202158065 + 65559202158066.

It is an arithmetic number, because the mean of its divisors is an integer number (65559202158066).

Almost surely, 2^{131118404316131} is an apocalyptic number.

131118404316131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131118404316131 is an equidigital number, since it uses as much as digits as its factorization.

131118404316131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 131118404316131 in words is "one hundred thirty-one trillion, one hundred eighteen billion, four hundred four million, three hundred sixteen thousand, one hundred thirty-one".