332131020000 has 960 divisors, whose sum is σ = 1256006949120. Its totient is φ = 76142592000.

The previous prime is 332131019999. The next prime is 332131020031. The reversal of 332131020000 is 20131233.

It is a super-2 number, since 2×332131020000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1081859847 + ... + 1081860153.

It is an arithmetic number, because the mean of its divisors is an integer number (1308340572).

Almost surely, 2^332131020000 is an apocalyptic number.

332131020000 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 332131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628003474560).

332131020000 is an abundant number, since it is smaller than the sum of its proper divisors (923875929120).

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

332131020000 is a wasteful number, since it uses less digits than its factorization.

332131020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 332131020000 its reverse (20131233), we get a palindrome (332151151233).

The spelling of 332131020000 in words is "three hundred thirty-two billion, one hundred thirty-one million, twenty thousand".