311441200157 has 2 divisors, whose sum is σ = 311441200158. Its totient is φ = 311441200156.

The previous prime is 311441200151. The next prime is 311441200159. The reversal of 311441200157 is 751002144113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294104474596 + 17336725561 = 542314^2 + 131669^2 .

It is a cyclic number.

It is not a de Polignac number, because 311441200157 - 2¹⁰ = 311441199133 is a prime.

Together with 311441200159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311441200151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720600078 + 155720600079.

It is an arithmetic number, because the mean of its divisors is an integer number (155720600079).

Almost surely, 2^311441200157 is an apocalyptic number.

It is an amenable number.

311441200157 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441200157 is an equidigital number, since it uses as much as digits as its factorization.

311441200157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 311441200157 in words is "three hundred eleven billion, four hundred forty-one million, two hundred thousand, one hundred fifty-seven".