331001310013000 has 128 divisors (see below), whose sum is σ = 844973919504000. Its totient is φ = 120361570272000.

The previous prime is 331001310012797. The next prime is 331001310013007. The reversal of 331001310013000 is 310013100133.

It is not an unprimeable number, because it can be changed into a prime (331001310013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566394951 + ... + 566979049.

It is an arithmetic number, because the mean of its divisors is an integer number (6601358746125).

Almost surely, 2^{331001310013000} is an apocalyptic number.

It is an amenable number.

331001310013000 is an abundant number, since it is smaller than the sum of its proper divisors (513972609491000).

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

331001310013000 is a wasteful number, since it uses less digits than its factorization.

331001310013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635648 (or 635634 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 331001310013000 its reverse (310013100133), we get a palindrome (331311323113133).

The spelling of 331001310013000 in words is "three hundred thirty-one trillion, one billion, three hundred ten million, thirteen thousand".