330030320333013 has 14 divisors (see below), whose sum is σ = 494819122256214. Its totient is φ = 220020213554856.

The previous prime is 330030320332997. The next prime is 330030320333029. The reversal of 330030320333013 is 310333023030033.

330030320333013 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 0 + 320 + 3 + 330 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (330030320332997) and next prime (330030320333029).

It can be written as a sum of positive squares in only one way, i.e., 330002756696484 + 27563636529 = 18165978^2 + 166023^2 .

It is not a de Polignac number, because 330030320333013 - 2⁴ = 330030320332997 is a prime.

It is a super-2 number, since 2×330030320333013² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030320313013) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 226358243670 + ... + 226358245127.

It is an arithmetic number, because the mean of its divisors is an integer number (35344223018301).

Almost surely, 2^{330030320333013} is an apocalyptic number.

It is an amenable number.

330030320333013 is a deficient number, since it is larger than the sum of its proper divisors (164788801923201).

330030320333013 is an frugal number, since it uses more digits than its factorization.

330030320333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452716488815 (or 452716488800 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 330030320333013 its reverse (310333023030033), we get a palindrome (640363343363046).

The spelling of 330030320333013 in words is "three hundred thirty trillion, thirty billion, three hundred twenty million, three hundred thirty-three thousand, thirteen".