130320112244031 has 64 divisors (see below), whose sum is σ = 201784128061440. Its totient is φ = 82969486760160.

The previous prime is 130320112244011. The next prime is 130320112244039. The reversal of 130320112244031 is 130442211023031.

130320112244031 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 20 + 11 + 224 + 403 + 1 = 666.

It is not a de Polignac number, because 130320112244031 - 2²⁵ = 130320078689599 is a prime.

It is a super-2 number, since 2×130320112244031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130320112243986 and 130320112244004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130320112244039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352788536 + ... + 1352884866.

It is an arithmetic number, because the mean of its divisors is an integer number (3152877000960).

Almost surely, 2^{130320112244031} is an apocalyptic number.

130320112244031 is a deficient number, since it is larger than the sum of its proper divisors (71464015817409).

130320112244031 is a wasteful number, since it uses less digits than its factorization.

130320112244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99833 (or 99827 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130320112244031 its reverse (130442211023031), we get a palindrome (260762323267062).

The spelling of 130320112244031 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred twelve million, two hundred forty-four thousand, thirty-one".