311310973626721 has 2 divisors, whose sum is σ = 311310973626722. Its totient is φ = 311310973626720.

The previous prime is 311310973626683. The next prime is 311310973626811. The reversal of 311310973626721 is 127626379013113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302476620341025 + 8834353285696 = 17391855^2 + 2972264^2 .

It is a cyclic number.

It is not a de Polignac number, because 311310973626721 - 2¹⁹ = 311310973102433 is a prime.

It is not a weakly prime, because it can be changed into another prime (311310973620721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155655486813360 + 155655486813361.

It is an arithmetic number, because the mean of its divisors is an integer number (155655486813361).

Almost surely, 2^{311310973626721} is an apocalyptic number.

It is an amenable number.

311310973626721 is a deficient number, since it is larger than the sum of its proper divisors (1).

311310973626721 is an equidigital number, since it uses as much as digits as its factorization.

311310973626721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 311310973626721 in words is "three hundred eleven trillion, three hundred ten billion, nine hundred seventy-three million, six hundred twenty-six thousand, seven hundred twenty-one".