330131001300013 has 2 divisors, whose sum is σ = 330131001300014. Its totient is φ = 330131001300012.

The previous prime is 330131001299989. The next prime is 330131001300031. The reversal of 330131001300013 is 310003100131033.

It is a happy number.

Together with next prime (330131001300031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319450634805124 + 10680366494889 = 17873182^2 + 3268083^2 .

It is a cyclic number.

It is not a de Polignac number, because 330131001300013 - 2³⁷ = 329993562346541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330131001370013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165065500650006 + 165065500650007.

It is an arithmetic number, because the mean of its divisors is an integer number (165065500650007).

Almost surely, 2^{330131001300013} is an apocalyptic number.

It is an amenable number.

330131001300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

330131001300013 is an equidigital number, since it uses as much as digits as its factorization.

330131001300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 330131001300013 its reverse (310003100131033), we get a palindrome (640134101431046).

The spelling of 330131001300013 in words is "three hundred thirty trillion, one hundred thirty-one billion, one million, three hundred thousand, thirteen".