130431413203344 has 90 divisors (see below), whose sum is σ = 401227807462118. Its totient is φ = 39524670662400.

The previous prime is 130431413203337. The next prime is 130431413203369. The reversal of 130431413203344 is 443302314134031.

130431413203344 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 1 + 413 + 203 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107111322291600 + 23320090911744 = 10349460^2 + 4829088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130431413203299 and 130431413203308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3742849117 + ... + 3742883964.

Almost surely, 2^{130431413203344} is an apocalyptic number.

It is an amenable number.

130431413203344 is an abundant number, since it is smaller than the sum of its proper divisors (270796394258774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130431413203344 is a wasteful number, since it uses less digits than its factorization.

130431413203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7485733117 (or 7485733097 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 130431413203344 its reverse (443302314134031), we get a palindrome (573733727337375).

The spelling of 130431413203344 in words is "one hundred thirty trillion, four hundred thirty-one billion, four hundred thirteen million, two hundred three thousand, three hundred forty-four".