130404404031 has 32 divisors (see below), whose sum is σ = 197958297600. Its totient is φ = 75584440800.

The previous prime is 130404404017. The next prime is 130404404051.

130404404031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130404404031 - 2¹⁰ = 130404403007 is a prime.

It is a super-2 number, since 2×130404404031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130404403992 and 130404404010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130404404051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6890620 + ... + 6909518.

It is an arithmetic number, because the mean of its divisors is an integer number (6186196800).

Almost surely, 2^130404404031 is an apocalyptic number.

130404404031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130404404031 is a deficient number, since it is larger than the sum of its proper divisors (67553893569).

130404404031 is a wasteful number, since it uses less digits than its factorization.

130404404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 130404 and 404031, that added together give a palindrome (534435).

The spelling of 130404404031 in words is "one hundred thirty billion, four hundred four million, four hundred four thousand, thirty-one".