122332244313313 has 2 divisors, whose sum is σ = 122332244313314. Its totient is φ = 122332244313312.

The previous prime is 122332244313311. The next prime is 122332244313319. The reversal of 122332244313313 is 313313442233221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61503974947809 + 60828269365504 = 7842447^2 + 7799248^2 .

It is a cyclic number.

It is not a de Polignac number, because 122332244313313 - 2¹ = 122332244313311 is a prime.

It is a super-3 number, since 3×122332244313313³ (a number of 43 digits) contains 333 as substring.

Together with 122332244313311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122332244313311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61166122156656 + 61166122156657.

It is an arithmetic number, because the mean of its divisors is an integer number (61166122156657).

Almost surely, 2^{122332244313313} is an apocalyptic number.

It is an amenable number.

122332244313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122332244313313 is an equidigital number, since it uses as much as digits as its factorization.

122332244313313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 37.

Adding to 122332244313313 its reverse (313313442233221), we get a palindrome (435645686546534).

The spelling of 122332244313313 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, two hundred forty-four million, three hundred thirteen thousand, three hundred thirteen".