2313133130081 has 2 divisors, whose sum is σ = 2313133130082. Its totient is φ = 2313133130080.

The previous prime is 2313133130023. The next prime is 2313133130117. The reversal of 2313133130081 is 1800313313132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1850100513856 + 463032616225 = 1360184^2 + 680465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2313133130081 is a prime.

It is a super-2 number, since 2×2313133130081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2313133138081) 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, 1156566565040 + 1156566565041.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566565041).

Almost surely, 2^{2313133130081} is an apocalyptic number.

It is an amenable number.

2313133130081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133130081 is an equidigital number, since it uses as much as digits as its factorization.

2313133130081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2313133130081 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty thousand, eighty-one".