122313313221 has 16 divisors (see below), whose sum is σ = 178904194560. Its totient is φ = 73715147120.

The previous prime is 122313313217. The next prime is 122313313237.

122313313221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122313313221 - 2² = 122313313217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122313313191 and 122313313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313313271) 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 15 ways as a sum of consecutive naturals, for example, 10347345 + ... + 10359158.

It is an arithmetic number, because the mean of its divisors is an integer number (11181512160).

Almost surely, 2^122313313221 is an apocalyptic number.

122313313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122313313221 is a deficient number, since it is larger than the sum of its proper divisors (56590881339).

122313313221 is a wasteful number, since it uses less digits than its factorization.

122313313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20706696.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 122313 and 313221, that added together give a palindrome (435534).

The spelling of 122313313221 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred thirteen thousand, two hundred twenty-one".