311233380978761 has 2 divisors, whose sum is σ = 311233380978762. Its totient is φ = 311233380978760.

The previous prime is 311233380978749. The next prime is 311233380978763. The reversal of 311233380978761 is 167879083332113.

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., 309807733038736 + 1425647940025 = 17601356^2 + 1194005^2 .

It is a cyclic number.

It is not a de Polignac number, because 311233380978761 - 2³⁰ = 311232307236937 is a prime.

Together with 311233380978763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 311233380978694 and 311233380978703.

It is not a weakly prime, because it can be changed into another prime (311233380978763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155616690489380 + 155616690489381.

It is an arithmetic number, because the mean of its divisors is an integer number (155616690489381).

Almost surely, 2^{311233380978761} is an apocalyptic number.

It is an amenable number.

311233380978761 is a deficient number, since it is larger than the sum of its proper divisors (1).

311233380978761 is an equidigital number, since it uses as much as digits as its factorization.

311233380978761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 311233380978761 in words is "three hundred eleven trillion, two hundred thirty-three billion, three hundred eighty million, nine hundred seventy-eight thousand, seven hundred sixty-one".