2313313101329 has 2 divisors, whose sum is σ = 2313313101330. Its totient is φ = 2313313101328.

The previous prime is 2313313101311. The next prime is 2313313101353. The reversal of 2313313101329 is 9231013133132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2188778220304 + 124534881025 = 1479452^2 + 352895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313313101329 - 2¹⁶ = 2313313035793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2313313101295 and 2313313101304.

It is not a weakly prime, because it can be changed into another prime (2313313101389) 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, 1156656550664 + 1156656550665.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656550665).

Almost surely, 2^{2313313101329} is an apocalyptic number.

It is an amenable number.

2313313101329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313313101329 is an equidigital number, since it uses as much as digits as its factorization.

2313313101329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 2313313101329 in words is "two trillion, three hundred thirteen billion, three hundred thirteen million, one hundred one thousand, three hundred twenty-nine".