311300312211257 has 2 divisors, whose sum is σ = 311300312211258. Its totient is φ = 311300312211256.

The previous prime is 311300312211209. The next prime is 311300312211281. The reversal of 311300312211257 is 752112213003113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221570995038121 + 89729317173136 = 14885261^2 + 9472556^2 .

It is a cyclic number.

It is not a de Polignac number, because 311300312211257 - 2¹⁴ = 311300312194873 is a prime.

It is not a weakly prime, because it can be changed into another prime (311300318211257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155650156105628 + 155650156105629.

It is an arithmetic number, because the mean of its divisors is an integer number (155650156105629).

Almost surely, 2^{311300312211257} is an apocalyptic number.

It is an amenable number.

311300312211257 is a deficient number, since it is larger than the sum of its proper divisors (1).

311300312211257 is an equidigital number, since it uses as much as digits as its factorization.

311300312211257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 311300312211257 in words is "three hundred eleven trillion, three hundred billion, three hundred twelve million, two hundred eleven thousand, two hundred fifty-seven".