330313112100013 has 16 divisors (see below), whose sum is σ = 387822466168704. Its totient is φ = 275424000848640.

The previous prime is 330313112100007. The next prime is 330313112100137. The reversal of 330313112100013 is 310001211313033.

It is not a de Polignac number, because 330313112100013 - 2¹⁷ = 330313111968941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313112100313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658281920 + ... + 1658481097.

It is an arithmetic number, because the mean of its divisors is an integer number (24238904135544).

Almost surely, 2^{330313112100013} is an apocalyptic number.

It is an amenable number.

330313112100013 is a deficient number, since it is larger than the sum of its proper divisors (57509354068691).

330313112100013 is a wasteful number, since it uses less digits than its factorization.

330313112100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316763412.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 330313112100013 its reverse (310001211313033), we get a palindrome (640314323413046).

The spelling of 330313112100013 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred twelve million, one hundred thousand, thirteen".