130031101130031 has 12 divisors (see below), whose sum is σ = 188650114417752. Its totient is φ = 86305517929296.

The previous prime is 130031101129961. The next prime is 130031101130071.

130031101130031 is a `hidden beast` number, since 1 + 300 + 31 + 1 + 0 + 1 + 1 + 300 + 31 = 666.

130031101130031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130031101130031 - 2⁹ = 130031101129519 is a prime.

It is a super-2 number, since 2×130031101130031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130031101129986 and 130031101130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031101130071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31823566516 + ... + 31823570601.

It is an arithmetic number, because the mean of its divisors is an integer number (15720842868146).

Almost surely, 2^{130031101130031} is an apocalyptic number.

130031101130031 is a deficient number, since it is larger than the sum of its proper divisors (58619013287721).

130031101130031 is a wasteful number, since it uses less digits than its factorization.

130031101130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63647137350 (or 63647137347 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 13003110 and 1130031, that added together give a palindrome (14133141).

The spelling of 130031101130031 in words is "one hundred thirty trillion, thirty-one billion, one hundred one million, one hundred thirty thousand, thirty-one".