131130200400 has 120 divisors (see below), whose sum is σ = 444762854784. Its totient is φ = 32911104000.

The previous prime is 131130200393. The next prime is 131130200431. The reversal of 131130200400 is 4002031131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131130200400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3193576 + ... + 3234375.

Almost surely, 2^131130200400 is an apocalyptic number.

131130200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130200400 is an abundant number, since it is smaller than the sum of its proper divisors (313632654384).

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

131130200400 is a wasteful number, since it uses less digits than its factorization.

131130200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427989 (or 6427978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131130200400 its reverse (4002031131), we get a palindrome (135132231531).

The spelling of 131130200400 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred thousand, four hundred".