131130101100031 has 32 divisors (see below), whose sum is σ = 149748402355200. Its totient is φ = 113731817834880.

The previous prime is 131130101100029. The next prime is 131130101100041. The reversal of 131130101100031 is 130001101031131.

It is a cyclic number.

It is not a de Polignac number, because 131130101100031 - 2¹ = 131130101100029 is a prime.

It is a super-2 number, since 2×131130101100031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131130101099978 and 131130101100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130101100041) 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, 7623016 + ... + 17898898.

It is an arithmetic number, because the mean of its divisors is an integer number (4679637573600).

Almost surely, 2^{131130101100031} is an apocalyptic number.

131130101100031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131130101100031 is a deficient number, since it is larger than the sum of its proper divisors (18618301255169).

131130101100031 is a wasteful number, since it uses less digits than its factorization.

131130101100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276399.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131130101100031 its reverse (130001101031131), we get a palindrome (261131202131162).

The spelling of 131130101100031 in words is "one hundred thirty-one trillion, one hundred thirty billion, one hundred one million, one hundred thousand, thirty-one".