131013102031 has 24 divisors (see below), whose sum is σ = 153140682240. Its totient is φ = 109790952480.

The previous prime is 131013102029. The next prime is 131013102053. The reversal of 131013102031 is 130201310131.

It is not a de Polignac number, because 131013102031 - 2¹ = 131013102029 is a prime.

It is a super-2 number, since 2×131013102031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131013101996 and 131013102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4334790 + ... + 4364908.

It is an arithmetic number, because the mean of its divisors is an integer number (6380861760).

Almost surely, 2^131013102031 is an apocalyptic number.

131013102031 is a deficient number, since it is larger than the sum of its proper divisors (22127580209).

131013102031 is an equidigital number, since it uses as much as digits as its factorization.

131013102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30415 (or 30354 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131013102031 its reverse (130201310131), we get a palindrome (261214412162).

The spelling of 131013102031 in words is "one hundred thirty-one billion, thirteen million, one hundred two thousand, thirty-one".