131031023413097 has 2 divisors, whose sum is σ = 131031023413098. Its totient is φ = 131031023413096.

The previous prime is 131031023413093. The next prime is 131031023413247. The reversal of 131031023413097 is 790314320130131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101347388316736 + 29683635096361 = 10067144^2 + 5448269^2 .

It is an emirp because it is prime and its reverse (790314320130131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131031023413097 - 2² = 131031023413093 is a prime.

It is a super-2 number, since 2×131031023413097² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131031023413097.

It is not a weakly prime, because it can be changed into another prime (131031023413093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65515511706548 + 65515511706549.

It is an arithmetic number, because the mean of its divisors is an integer number (65515511706549).

Almost surely, 2^{131031023413097} is an apocalyptic number.

It is an amenable number.

131031023413097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031023413097 is an equidigital number, since it uses as much as digits as its factorization.

131031023413097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 131031023413097 in words is "one hundred thirty-one trillion, thirty-one billion, twenty-three million, four hundred thirteen thousand, ninety-seven".