31210313137 has 2 divisors, whose sum is σ = 31210313138. Its totient is φ = 31210313136.

The previous prime is 31210313129. The next prime is 31210313203. The reversal of 31210313137 is 73131301213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18280121616 + 12930191521 = 135204^2 + 113711^2 .

It is an emirp because it is prime and its reverse (73131301213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31210313137 - 2³ = 31210313129 is a prime.

It is a super-2 number, since 2×31210313137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31210313737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15605156568 + 15605156569.

It is an arithmetic number, because the mean of its divisors is an integer number (15605156569).

Almost surely, 2^31210313137 is an apocalyptic number.

It is an amenable number.

31210313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31210313137 is an equidigital number, since it uses as much as digits as its factorization.

31210313137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 31210313137 in words is "thirty-one billion, two hundred ten million, three hundred thirteen thousand, one hundred thirty-seven".