122313343221311 has 64 divisors (see below), whose sum is σ = 144839067148800. Its totient is φ = 102118848768000.

The previous prime is 122313343221283. The next prime is 122313343221319. The reversal of 122313343221311 is 113122343313221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122313343221311 - 2³⁴ = 122296163352127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313343221319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210821420 + ... + 211400798.

It is an arithmetic number, because the mean of its divisors is an integer number (2263110424200).

Almost surely, 2^{122313343221311} is an apocalyptic number.

122313343221311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122313343221311 is a deficient number, since it is larger than the sum of its proper divisors (22525723927489).

122313343221311 is a wasteful number, since it uses less digits than its factorization.

122313343221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579720.

The product of its digits is 15552, while the sum is 32.

Adding to 122313343221311 its reverse (113122343313221), we get a palindrome (235435686534532).

It can be divided in two parts, 1223133 and 43221311, that added together give a palindrome (44444444).

The spelling of 122313343221311 in words is "one hundred twenty-two trillion, three hundred thirteen billion, three hundred forty-three million, two hundred twenty-one thousand, three hundred eleven".