330111033130013 has 2 divisors, whose sum is σ = 330111033130014. Its totient is φ = 330111033130012.

The previous prime is 330111033129971. The next prime is 330111033130033. The reversal of 330111033130013 is 310031330111033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298782183790489 + 31328849339524 = 17285317^2 + 5597218^2 .

It is a cyclic number.

It is not a de Polignac number, because 330111033130013 - 2¹⁴ = 330111033113629 is a prime.

It is a super-2 number, since 2×330111033130013² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330111033130033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165055516565006 + 165055516565007.

It is an arithmetic number, because the mean of its divisors is an integer number (165055516565007).

Almost surely, 2^{330111033130013} is an apocalyptic number.

It is an amenable number.

330111033130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

330111033130013 is an equidigital number, since it uses as much as digits as its factorization.

330111033130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 330111033130013 its reverse (310031330111033), we get a palindrome (640142363241046).

The spelling of 330111033130013 in words is "three hundred thirty trillion, one hundred eleven billion, thirty-three million, one hundred thirty thousand, thirteen".