331231312000 has 128 divisors (see below), whose sum is σ = 823920018480. Its totient is φ = 132428800000.

The previous prime is 331231311979. The next prime is 331231312007. The reversal of 331231312000 is 213132133.

It can be written as a sum of positive squares in 8 ways, for example, as 275029056 + 330956282944 = 16584^2 + 575288^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (331231312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47308500 + ... + 47315500.

Almost surely, 2^331231312000 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 331231312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411960009240).

331231312000 is an abundant number, since it is smaller than the sum of its proper divisors (492688706480).

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

331231312000 is an equidigital number, since it uses as much as digits as its factorization.

331231312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331231312000 its reverse (213132133), we get a palindrome (331444444133).

The spelling of 331231312000 in words is "three hundred thirty-one billion, two hundred thirty-one million, three hundred twelve thousand".