13122340323329 has 2 divisors, whose sum is σ = 13122340323330. Its totient is φ = 13122340323328.

The previous prime is 13122340323277. The next prime is 13122340323341. The reversal of 13122340323329 is 92332304322131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11543359592704 + 1578980730625 = 3397552^2 + 1256575^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122340323329 - 2¹² = 13122340319233 is a prime.

It is a super-2 number, since 2×13122340323329² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13122340323292 and 13122340323301.

It is not a weakly prime, because it can be changed into another prime (13122340323229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561170161664 + 6561170161665.

It is an arithmetic number, because the mean of its divisors is an integer number (6561170161665).

Almost surely, 2^{13122340323329} is an apocalyptic number.

It is an amenable number.

13122340323329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122340323329 is an equidigital number, since it uses as much as digits as its factorization.

13122340323329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 38.

The spelling of 13122340323329 in words is "thirteen trillion, one hundred twenty-two billion, three hundred forty million, three hundred twenty-three thousand, three hundred twenty-nine".