331312103137 has 2 divisors, whose sum is σ = 331312103138. Its totient is φ = 331312103136.

The previous prime is 331312103099. The next prime is 331312103141. The reversal of 331312103137 is 731301213133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331310755216 + 1347921 = 575596^2 + 1161^2 .

It is a cyclic number.

It is not a de Polignac number, because 331312103137 - 2⁷ = 331312103009 is a prime.

It is not a weakly prime, because it can be changed into another prime (331312101137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656051568 + 165656051569.

It is an arithmetic number, because the mean of its divisors is an integer number (165656051569).

Almost surely, 2^331312103137 is an apocalyptic number.

It is an amenable number.

331312103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312103137 is an equidigital number, since it uses as much as digits as its factorization.

331312103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 331312103137 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred three thousand, one hundred thirty-seven".