131313210031181 has 2 divisors, whose sum is σ = 131313210031182. Its totient is φ = 131313210031180.

The previous prime is 131313210031169. The next prime is 131313210031187. The reversal of 131313210031181 is 181130012313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74055748969225 + 57257461061956 = 8605565^2 + 7566866^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313210031181 - 2³⁸ = 131038332124237 is a prime.

It is a super-2 number, since 2×131313210031181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131313210031187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656605015590 + 65656605015591.

It is an arithmetic number, because the mean of its divisors is an integer number (65656605015591).

Almost surely, 2^{131313210031181} is an apocalyptic number.

It is an amenable number.

131313210031181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313210031181 is an equidigital number, since it uses as much as digits as its factorization.

131313210031181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 131313210031181 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred ten million, thirty-one thousand, one hundred eighty-one".