131001013031 has 32 divisors (see below), whose sum is σ = 163023528960. Its totient is φ = 102717927936.

The previous prime is 131001012977. The next prime is 131001013063. The reversal of 131001013031 is 130310100131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-131001013031 is a prime.

It is a super-2 number, since 2×131001013031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001012997 and 131001013015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001013631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577790 + ... + 771908.

It is an arithmetic number, because the mean of its divisors is an integer number (5094485280).

Almost surely, 2^131001013031 is an apocalyptic number.

131001013031 is a deficient number, since it is larger than the sum of its proper divisors (32022515929).

131001013031 is a wasteful number, since it uses less digits than its factorization.

131001013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194303.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 131001013031 its reverse (130310100131), we get a palindrome (261311113162).

The spelling of 131001013031 in words is "one hundred thirty-one billion, one million, thirteen thousand, thirty-one".