130011110031 has 16 divisors (see below), whose sum is σ = 189240030720. Its totient is φ = 78739211520.

The previous prime is 130011110027. The next prime is 130011110051.

130011110031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130011110031 - 2² = 130011110027 is a prime.

It is a super-2 number, since 2×130011110031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130011109989 and 130011110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130011110051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337346 + ... + 1431263.

It is an arithmetic number, because the mean of its divisors is an integer number (11827501920).

Almost surely, 2^130011110031 is an apocalyptic number.

130011110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130011110031 is a deficient number, since it is larger than the sum of its proper divisors (59228920689).

130011110031 is a wasteful number, since it uses less digits than its factorization.

130011110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770046.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 130011 and 110031, that added together give a palindrome (240042).

The spelling of 130011110031 in words is "one hundred thirty billion, eleven million, one hundred ten thousand, thirty-one".