331321232000000 has 924 divisors, whose sum is σ = 927449445292020. Its totient is φ = 118170624000000.

The previous prime is 331321231999907. The next prime is 331321232000009. The reversal of 331321232000000 is 232123133.

It can be written as a sum of positive squares in 14 ways, for example, as 277772088918016 + 53549143081984 = 16666496^2 + 7317728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (331321232000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102607998386 + ... + 102608001614.

Almost surely, 2^{331321232000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331321232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463724722646010).

331321232000000 is an abundant number, since it is smaller than the sum of its proper divisors (596128213292020).

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

331321232000000 is an frugal number, since it uses more digits than its factorization.

331321232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331321232000000 its reverse (232123133), we get a palindrome (331321464123133).

The spelling of 331321232000000 in words is "three hundred thirty-one trillion, three hundred twenty-one billion, two hundred thirty-two million", and thus it is an aban number.