332131123113300 has 576 divisors, whose sum is σ = 1254679600366080. Its totient is φ = 73779932160000.

The previous prime is 332131123113281. The next prime is 332131123113301. The reversal of 332131123113300 is 3311321131233.

332131123113300 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 3 + 1 + 12 + 311 + 330 + 0 = 666.

It is a super-2 number, since 2×332131123113300² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (332131123113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 615813750 + ... + 616352850.

It is an arithmetic number, because the mean of its divisors is an integer number (2178263195080).

Almost surely, 2^{332131123113300} is an apocalyptic number.

332131123113300 is a gapful number since it is divisible by the number (30) 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 332131123113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627339800183040).

332131123113300 is an abundant number, since it is smaller than the sum of its proper divisors (922548477252780).

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

332131123113300 is a wasteful number, since it uses less digits than its factorization.

332131123113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540049 (or 540036 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 332131123113300 its reverse (3311321131233), we get a palindrome (335442444244533).

The spelling of 332131123113300 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred".