331312331020000 has 480 divisors, whose sum is σ = 891709265994624. Its totient is φ = 120134572800000.

The previous prime is 331312331019997. The next prime is 331312331020003. The reversal of 331312331020000 is 20133213133.

It is an interprime number because it is at equal distance from previous prime (331312331019997) and next prime (331312331020003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312331020003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177457059067 + ... + 177457060933.

Almost surely, 2^{331312331020000} 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 331312331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445854632997312).

331312331020000 is an abundant number, since it is smaller than the sum of its proper divisors (560396934974624).

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

331312331020000 is a wasteful number, since it uses less digits than its factorization.

331312331020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331312331020000 its reverse (20133213133), we get a palindrome (331332464233133).

The spelling of 331312331020000 in words is "three hundred thirty-one trillion, three hundred twelve billion, three hundred thirty-one million, twenty thousand".