122222313313 has 2 divisors, whose sum is σ = 122222313314. Its totient is φ = 122222313312.

The previous prime is 122222313287. The next prime is 122222313337. The reversal of 122222313313 is 313313222221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118148937984 + 4073375329 = 343728^2 + 63823^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222313313 - 2¹⁷ = 122222182241 is a prime.

It is a super-2 number, since 2×122222313313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122222313013) 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 as a sum of consecutive naturals, namely, 61111156656 + 61111156657.

It is an arithmetic number, because the mean of its divisors is an integer number (61111156657).

Almost surely, 2^122222313313 is an apocalyptic number.

It is an amenable number.

122222313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222313313 is an equidigital number, since it uses as much as digits as its factorization.

122222313313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 122222313313 its reverse (313313222221), we get a palindrome (435535535534).

The spelling of 122222313313 in words is "one hundred twenty-two billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred thirteen".