131573030400 has 720 divisors, whose sum is σ = 558152859264. Its totient is φ = 30068858880.

The previous prime is 131573030399. The next prime is 131573030411. The reversal of 131573030400 is 4030375131.

131573030400 is a `hidden beast` number, since 1 + 315 + 7 + 303 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×131573030400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21769779 + ... + 21775821.

Almost surely, 2^131573030400 is an apocalyptic number.

131573030400 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 131573030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279076429632).

131573030400 is an abundant number, since it is smaller than the sum of its proper divisors (426579828864).

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

131573030400 is an frugal number, since it uses more digits than its factorization.

131573030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 131573030400 in words is "one hundred thirty-one billion, five hundred seventy-three million, thirty thousand, four hundred".