330113122202993 has 2 divisors, whose sum is σ = 330113122202994. Its totient is φ = 330113122202992.

The previous prime is 330113122202893. The next prime is 330113122203049. The reversal of 330113122202993 is 399202221311033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311533513697344 + 18579608505649 = 17650312^2 + 4310407^2 .

It is a cyclic number.

It is not a de Polignac number, because 330113122202993 - 2²⁰ = 330113121154417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330113122202993.

It is not a weakly prime, because it can be changed into another prime (330113122202293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165056561101496 + 165056561101497.

It is an arithmetic number, because the mean of its divisors is an integer number (165056561101497).

Almost surely, 2^{330113122202993} is an apocalyptic number.

It is an amenable number.

330113122202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

330113122202993 is an equidigital number, since it uses as much as digits as its factorization.

330113122202993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 330113122202993 in words is "three hundred thirty trillion, one hundred thirteen billion, one hundred twenty-two million, two hundred two thousand, nine hundred ninety-three".