330332332311313 has 2 divisors, whose sum is σ = 330332332311314. Its totient is φ = 330332332311312.

The previous prime is 330332332311301. The next prime is 330332332311343. The reversal of 330332332311313 is 313113233233033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319422074098689 + 10910258212624 = 17872383^2 + 3303068^2 .

It is a cyclic number.

It is not a de Polignac number, because 330332332311313 - 2²⁵ = 330332298756881 is a prime.

It is not a weakly prime, because it can be changed into another prime (330332332311343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165166166155656 + 165166166155657.

It is an arithmetic number, because the mean of its divisors is an integer number (165166166155657).

Almost surely, 2^{330332332311313} is an apocalyptic number.

It is an amenable number.

330332332311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330332332311313 is an equidigital number, since it uses as much as digits as its factorization.

330332332311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 34.

Adding to 330332332311313 its reverse (313113233233033), we get a palindrome (643445565544346).

The spelling of 330332332311313 in words is "three hundred thirty trillion, three hundred thirty-two billion, three hundred thirty-two million, three hundred eleven thousand, three hundred thirteen".