122133121313 has 8 divisors (see below), whose sum is σ = 139980657600. Its totient is φ = 104385571920.

The previous prime is 122133121291. The next prime is 122133121333. The reversal of 122133121313 is 313121331221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122133121313 - 2¹⁸ = 122132859169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122133121333) 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 in 7 ways as a sum of consecutive naturals, for example, 24994103 + ... + 24998988.

It is an arithmetic number, because the mean of its divisors is an integer number (17497582200).

Almost surely, 2^122133121313 is an apocalyptic number.

It is an amenable number.

122133121313 is a deficient number, since it is larger than the sum of its proper divisors (17847536287).

122133121313 is an equidigital number, since it uses as much as digits as its factorization.

122133121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49993447.

The product of its digits is 648, while the sum is 23.

Adding to 122133121313 its reverse (313121331221), we get a palindrome (435254452534).

The spelling of 122133121313 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirteen".