331001100137 has 2 divisors, whose sum is σ = 331001100138. Its totient is φ = 331001100136.

The previous prime is 331001100007. The next prime is 331001100139. The reversal of 331001100137 is 731001100133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260892122176 + 70108977961 = 510776^2 + 264781^2 .

It is an emirp because it is prime and its reverse (731001100133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331001100137 is a prime.

Together with 331001100139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331001100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500550068 + 165500550069.

It is an arithmetic number, because the mean of its divisors is an integer number (165500550069).

Almost surely, 2^331001100137 is an apocalyptic number.

It is an amenable number.

331001100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001100137 is an equidigital number, since it uses as much as digits as its factorization.

331001100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The spelling of 331001100137 in words is "three hundred thirty-one billion, one million, one hundred thousand, one hundred thirty-seven".