131334432400 has 60 divisors (see below), whose sum is σ = 315743749812. Its totient is φ = 52498347520.

The previous prime is 131334432367. The next prime is 131334432401. The reversal of 131334432400 is 4234433131.

It can be written as a sum of positive squares in 6 ways, for example, as 9815261184 + 121519171216 = 99072^2 + 348596^2 .

It is not an unprimeable number, because it can be changed into a prime (131334432401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487242 + ... + 707158.

Almost surely, 2^131334432400 is an apocalyptic number.

131334432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131334432400 is an abundant number, since it is smaller than the sum of its proper divisors (184409317412).

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

131334432400 is a wasteful number, since it uses less digits than its factorization.

131334432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221428 (or 221417 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131334432400 its reverse (4234433131), we get a palindrome (135568865531).

The spelling of 131334432400 in words is "one hundred thirty-one billion, three hundred thirty-four million, four hundred thirty-two thousand, four hundred".