331123322133313 has 2 divisors, whose sum is σ = 331123322133314. Its totient is φ = 331123322133312.

The previous prime is 331123322133277. The next prime is 331123322133323. The reversal of 331123322133313 is 313331223321133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323547709954624 + 7575612178689 = 17987432^2 + 2752383^2 .

It is a cyclic number.

It is not a de Polignac number, because 331123322133313 - 2²⁵ = 331123288578881 is a prime.

It is not a weakly prime, because it can be changed into another prime (331123322133323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561661066656 + 165561661066657.

It is an arithmetic number, because the mean of its divisors is an integer number (165561661066657).

Almost surely, 2^{331123322133313} is an apocalyptic number.

It is an amenable number.

331123322133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331123322133313 is an equidigital number, since it uses as much as digits as its factorization.

331123322133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 34.

Adding to 331123322133313 its reverse (313331223321133), we get a palindrome (644454545454446).

The spelling of 331123322133313 in words is "three hundred thirty-one trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred thirteen".