313000133222137 has 2 divisors, whose sum is σ = 313000133222138. Its totient is φ = 313000133222136.

The previous prime is 313000133222039. The next prime is 313000133222167. The reversal of 313000133222137 is 731222331000313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296440963286521 + 16559169935616 = 17217461^2 + 4069296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313000133222137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313000133222099 and 313000133222108.

It is not a weakly prime, because it can be changed into another prime (313000133222167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500066611068 + 156500066611069.

It is an arithmetic number, because the mean of its divisors is an integer number (156500066611069).

Almost surely, 2^{313000133222137} is an apocalyptic number.

It is an amenable number.

313000133222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313000133222137 is an equidigital number, since it uses as much as digits as its factorization.

313000133222137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 313000133222137 in words is "three hundred thirteen trillion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty-seven".