2313312116201 has 2 divisors, whose sum is σ = 2313312116202. Its totient is φ = 2313312116200.

The previous prime is 2313312116197. The next prime is 2313312116257. The reversal of 2313312116201 is 1026112133132.

2313312116201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1980988690576 + 332323425625 = 1407476^2 + 576475^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313312116201 - 2² = 2313312116197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2313312616201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156656058100 + 1156656058101.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656058101).

Almost surely, 2^{2313312116201} is an apocalyptic number.

It is an amenable number.

2313312116201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313312116201 is an equidigital number, since it uses as much as digits as its factorization.

2313312116201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 2313312116201 its reverse (1026112133132), we get a palindrome (3339424249333).

The spelling of 2313312116201 in words is "two trillion, three hundred thirteen billion, three hundred twelve million, one hundred sixteen thousand, two hundred one".