331213111113000 has 512 divisors, whose sum is σ = 1087702782566400. Its totient is φ = 83832690816000.

The previous prime is 331213111112977. The next prime is 331213111113007. The reversal of 331213111113000 is 311111312133.

It is not an unprimeable number, because it can be changed into a prime (331213111113007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652873441 + ... + 653380559.

It is an arithmetic number, because the mean of its divisors is an integer number (2124419497200).

Almost surely, 2^{331213111113000} is an apocalyptic number.

331213111113000 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 331213111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543851391283200).

331213111113000 is an abundant number, since it is smaller than the sum of its proper divisors (756489671453400).

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

331213111113000 is a wasteful number, since it uses less digits than its factorization.

331213111113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507330 (or 507316 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 331213111113000 its reverse (311111312133), we get a palindrome (331524222425133).

The spelling of 331213111113000 in words is "three hundred thirty-one trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirteen thousand".