131031122131 has 32 divisors (see below), whose sum is σ = 169971701760. Its totient is φ = 98092238976.

The previous prime is 131031122099. The next prime is 131031122191. The reversal of 131031122131 is 131221130131.

It is a cyclic number.

It is not a de Polignac number, because 131031122131 - 2⁵ = 131031122099 is a prime.

It is a super-2 number, since 2×131031122131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 131031122099 and 131031122108.

It is not an unprimeable number, because it can be changed into a prime (131031122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330470 + ... + 1425556.

It is an arithmetic number, because the mean of its divisors is an integer number (5311615680).

Almost surely, 2^131031122131 is an apocalyptic number.

131031122131 is a deficient number, since it is larger than the sum of its proper divisors (38940579629).

131031122131 is a wasteful number, since it uses less digits than its factorization.

131031122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95923.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 131031122131 its reverse (131221130131), we get a palindrome (262252252262).

The spelling of 131031122131 in words is "one hundred thirty-one billion, thirty-one million, one hundred twenty-two thousand, one hundred thirty-one".