330330200013 has 36 divisors (see below), whose sum is σ = 526774457664. Its totient is φ = 199318033200.

The previous prime is 330330200003. The next prime is 330330200021. The reversal of 330330200013 is 310002033033.

330330200013 is a `hidden beast` number, since 330 + 330 + 2 + 0 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 330330200013 - 2³⁰ = 329256458189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330330200003) 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 35 ways as a sum of consecutive naturals, for example, 420933 + ... + 915338.

It is an arithmetic number, because the mean of its divisors is an integer number (14632623824).

Almost surely, 2^330330200013 is an apocalyptic number.

330330200013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330330200013 is a deficient number, since it is larger than the sum of its proper divisors (196444257651).

330330200013 is a wasteful number, since it uses less digits than its factorization.

330330200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336526 (or 1336512 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330330200013 its reverse (310002033033), we get a palindrome (640332233046).

The spelling of 330330200013 in words is "three hundred thirty billion, three hundred thirty million, two hundred thousand, thirteen".