313301220137 has 2 divisors, whose sum is σ = 313301220138. Its totient is φ = 313301220136.

The previous prime is 313301220059. The next prime is 313301220143. The reversal of 313301220137 is 731022103313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245960451136 + 67340769001 = 495944^2 + 259501^2 .

It is a cyclic number.

It is not a de Polignac number, because 313301220137 - 2¹⁴ = 313301203753 is a prime.

It is not a weakly prime, because it can be changed into another prime (313301220937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650610068 + 156650610069.

It is an arithmetic number, because the mean of its divisors is an integer number (156650610069).

Almost surely, 2^313301220137 is an apocalyptic number.

It is an amenable number.

313301220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301220137 is an equidigital number, since it uses as much as digits as its factorization.

313301220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 313301220137 in words is "three hundred thirteen billion, three hundred one million, two hundred twenty thousand, one hundred thirty-seven".