313104000240257 has 2 divisors, whose sum is σ = 313104000240258. Its totient is φ = 313104000240256.

The previous prime is 313104000240233. The next prime is 313104000240259. The reversal of 313104000240257 is 752042000401313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231107371310656 + 81996628929601 = 15202216^2 + 9055199^2 .

It is a cyclic number.

It is not a de Polignac number, because 313104000240257 - 2¹⁸ = 313103999978113 is a prime.

It is a super-2 number, since 2×313104000240257² (a number of 30 digits) contains 22 as substring.

Together with 313104000240259, 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 (313104000240259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156552000120128 + 156552000120129.

It is an arithmetic number, because the mean of its divisors is an integer number (156552000120129).

Almost surely, 2^{313104000240257} is an apocalyptic number.

It is an amenable number.

313104000240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

313104000240257 is an equidigital number, since it uses as much as digits as its factorization.

313104000240257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 313104000240257 in words is "three hundred thirteen trillion, one hundred four billion, two hundred forty thousand, two hundred fifty-seven".