131326532400 has 240 divisors, whose sum is σ = 481385657600. Its totient is φ = 29979694080.

The previous prime is 131326532399. The next prime is 131326532413. The reversal of 131326532400 is 4235623131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×131326532400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6954171 + ... + 6973029.

Almost surely, 2^131326532400 is an apocalyptic number.

131326532400 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 131326532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240692828800).

131326532400 is an abundant number, since it is smaller than the sum of its proper divisors (350059125200).

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

131326532400 is a wasteful number, since it uses less digits than its factorization.

131326532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19716 (or 19705 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 131326532400 in words is "one hundred thirty-one billion, three hundred twenty-six million, five hundred thirty-two thousand, four hundred".