10311311312177 has 2 divisors, whose sum is σ = 10311311312178. Its totient is φ = 10311311312176.

The previous prime is 10311311312111. The next prime is 10311311312221. The reversal of 10311311312177 is 77121311311301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9389511621361 + 921799690816 = 3064231^2 + 960104^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311311312177 - 2²⁸ = 10311042876721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10311311312977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155655656088 + 5155655656089.

It is an arithmetic number, because the mean of its divisors is an integer number (5155655656089).

Almost surely, 2^{10311311312177} is an apocalyptic number.

It is an amenable number.

10311311312177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311311312177 is an equidigital number, since it uses as much as digits as its factorization.

10311311312177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 32.

Adding to 10311311312177 its reverse (77121311311301), we get a palindrome (87432622623478).

The spelling of 10311311312177 in words is "ten trillion, three hundred eleven billion, three hundred eleven million, three hundred twelve thousand, one hundred seventy-seven".