311020303122049 has 2 divisors, whose sum is σ = 311020303122050. Its totient is φ = 311020303122048.

The previous prime is 311020303121993. The next prime is 311020303122073. The reversal of 311020303122049 is 940221303020113.

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., 310765422531600 + 254880590449 = 17628540^2 + 504857^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020303122049 - 2¹⁷ = 311020302990977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311020303122049.

It is not a weakly prime, because it can be changed into another prime (311020303122649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155510151561024 + 155510151561025.

It is an arithmetic number, because the mean of its divisors is an integer number (155510151561025).

Almost surely, 2^{311020303122049} is an apocalyptic number.

It is an amenable number.

311020303122049 is a deficient number, since it is larger than the sum of its proper divisors (1).

311020303122049 is an equidigital number, since it uses as much as digits as its factorization.

311020303122049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 311020303122049 in words is "three hundred eleven trillion, twenty billion, three hundred three million, one hundred twenty-two thousand, forty-nine".