311393034401 has 2 divisors, whose sum is σ = 311393034402. Its totient is φ = 311393034400.

The previous prime is 311393034313. The next prime is 311393034437. The reversal of 311393034401 is 104430393113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292794621025 + 18598413376 = 541105^2 + 136376^2 .

It is an emirp because it is prime and its reverse (104430393113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311393034401 - 2¹⁰ = 311393033377 is a prime.

It is not a weakly prime, because it can be changed into another prime (311393034461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155696517200 + 155696517201.

It is an arithmetic number, because the mean of its divisors is an integer number (155696517201).

Almost surely, 2^311393034401 is an apocalyptic number.

It is an amenable number.

311393034401 is a deficient number, since it is larger than the sum of its proper divisors (1).

311393034401 is an equidigital number, since it uses as much as digits as its factorization.

311393034401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 311393034401 in words is "three hundred eleven billion, three hundred ninety-three million, thirty-four thousand, four hundred one".