330312303311013 has 8 divisors (see below), whose sum is σ = 489351560460800. Its totient is φ = 220208202207324.

The previous prime is 330312303310931. The next prime is 330312303311027. The reversal of 330312303311013 is 310113303213033.

330312303311013 is a `hidden beast` number, since 3 + 3 + 0 + 31 + 2 + 303 + 311 + 0 + 13 = 666.

It is not a de Polignac number, because 330312303311013 - 2¹⁸ = 330312303048869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12233789011519 = 330312303311013 / (3 + 3 + 0 + 3 + 1 + 2 + 3 + 0 + 3 + 3 + 1 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330312303311213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6116894505733 + ... + 6116894505786.

It is an arithmetic number, because the mean of its divisors is an integer number (61168945057600).

Almost surely, 2^{330312303311013} is an apocalyptic number.

It is an amenable number.

330312303311013 is a deficient number, since it is larger than the sum of its proper divisors (159039257149787).

330312303311013 is a wasteful number, since it uses less digits than its factorization.

330312303311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233789011528 (or 12233789011522 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330312303311013 its reverse (310113303213033), we get a palindrome (640425606524046).

The spelling of 330312303311013 in words is "three hundred thirty trillion, three hundred twelve billion, three hundred three million, three hundred eleven thousand, thirteen".