2333312118113 has 2 divisors, whose sum is σ = 2333312118114. Its totient is φ = 2333312118112.

The previous prime is 2333312118097. The next prime is 2333312118161. The reversal of 2333312118113 is 3118112133332.

2333312118113 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., 2174277058849 + 159035059264 = 1474543^2 + 398792^2 .

It is a cyclic number.

It is not a de Polignac number, because 2333312118113 - 2⁴ = 2333312118097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2333312118113.

It is not a weakly prime, because it can be changed into another prime (2333312118013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1166656059056 + 1166656059057.

It is an arithmetic number, because the mean of its divisors is an integer number (1166656059057).

Almost surely, 2^{2333312118113} is an apocalyptic number.

It is an amenable number.

2333312118113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2333312118113 is an equidigital number, since it uses as much as digits as its factorization.

2333312118113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 2333312118113 in words is "two trillion, three hundred thirty-three billion, three hundred twelve million, one hundred eighteen thousand, one hundred thirteen".