122221201221313 has 2 divisors, whose sum is σ = 122221201221314. Its totient is φ = 122221201221312.

The previous prime is 122221201221191. The next prime is 122221201221319. The reversal of 122221201221313 is 313122102122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107934063713424 + 14287137507889 = 10389132^2 + 3779833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221201221313 is a prime.

It is a super-3 number, since 3×122221201221313³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122221201221319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110600610656 + 61110600610657.

It is an arithmetic number, because the mean of its divisors is an integer number (61110600610657).

Almost surely, 2^{122221201221313} is an apocalyptic number.

It is an amenable number.

122221201221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221201221313 is an equidigital number, since it uses as much as digits as its factorization.

122221201221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122221201221313 its reverse (313122102122221), we get a palindrome (435343303343534).

The spelling of 122221201221313 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".