131350118400 has 900 divisors, whose sum is σ = 504418605768. Its totient is φ = 33761525760.

The previous prime is 131350118327. The next prime is 131350118429. The reversal of 131350118400 is 4811053131.

131350118400 is a `hidden beast` number, since 13 + 135 + 0 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1227571147 + ... + 1227571253.

Almost surely, 2^131350118400 is an apocalyptic number.

131350118400 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 131350118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252209302884).

131350118400 is an abundant number, since it is smaller than the sum of its proper divisors (373068487368).

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

131350118400 is an equidigital number, since it uses as much as digits as its factorization.

131350118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 131350118400 in words is "one hundred thirty-one billion, three hundred fifty million, one hundred eighteen thousand, four hundred".