131304534400 has 384 divisors, whose sum is σ = 374454158400. Its totient is φ = 45108264960.

The previous prime is 131304534353. The next prime is 131304534401. The reversal of 131304534400 is 4435403131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131304534401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35399746 + ... + 35403454.

Almost surely, 2^131304534400 is an apocalyptic number.

131304534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131304534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187227079200).

131304534400 is an abundant number, since it is smaller than the sum of its proper divisors (243149624000).

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

131304534400 is a wasteful number, since it uses less digits than its factorization.

131304534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 131304534400 its reverse (4435403131), we get a palindrome (135739937531).

The spelling of 131304534400 in words is "one hundred thirty-one billion, three hundred four million, five hundred thirty-four thousand, four hundred".