122353313 has 2 divisors, whose sum is σ = 122353314. Its totient is φ = 122353312.

The previous prime is 122353279. The next prime is 122353379. The reversal of 122353313 is 313353221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74356129 + 47997184 = 8623^2 + 6928^2 .

It is an emirp because it is prime and its reverse (313353221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122353313 - 2¹⁰ = 122352289 is a prime.

It is not a weakly prime, because it can be changed into another prime (122353013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61176656 + 61176657.

It is an arithmetic number, because the mean of its divisors is an integer number (61176657).

Almost surely, 2^122353313 is an apocalyptic number.

It is an amenable number.

122353313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122353313 is an equidigital number, since it uses as much as digits as its factorization.

122353313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 122353313 is about 11061.3431824530. The cubic root of 122353313 is about 496.4458803264.

The spelling of 122353313 in words is "one hundred twenty-two million, three hundred fifty-three thousand, three hundred thirteen".