330312310013312 has 128 divisors (see below), whose sum is σ = 760181704440480. Its totient is φ = 141293712179200.

The previous prime is 330312310013173. The next prime is 330312310013327. The reversal of 330312310013312 is 213310013213033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206993588 + ... + 208583244.

Almost surely, 2^{330312310013312} is an apocalyptic number.

330312310013312 is a gapful number since it is divisible by the number (32) 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 330312310013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380090852220240).

330312310013312 is an abundant number, since it is smaller than the sum of its proper divisors (429869394427168).

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

330312310013312 is a wasteful number, since it uses less digits than its factorization.

330312310013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598380 (or 1598368 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 330312310013312 its reverse (213310013213033), we get a palindrome (543622323226345).

The spelling of 330312310013312 in words is "three hundred thirty trillion, three hundred twelve billion, three hundred ten million, thirteen thousand, three hundred twelve".