331002300133013 has 2 divisors, whose sum is σ = 331002300133014. Its totient is φ = 331002300133012.

The previous prime is 331002300133003. The next prime is 331002300133019. The reversal of 331002300133013 is 310331003200133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322886650088209 + 8115650044804 = 17969047^2 + 2848798^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002300133013 - 2⁴ = 331002300132997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331002300133013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331002300133019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501150066506 + 165501150066507.

It is an arithmetic number, because the mean of its divisors is an integer number (165501150066507).

Almost surely, 2^{331002300133013} is an apocalyptic number.

It is an amenable number.

331002300133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002300133013 is an equidigital number, since it uses as much as digits as its factorization.

331002300133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 331002300133013 its reverse (310331003200133), we get a palindrome (641333303333146).

The spelling of 331002300133013 in words is "three hundred thirty-one trillion, two billion, three hundred million, one hundred thirty-three thousand, thirteen".