12221120010013 has 2 divisors, whose sum is σ = 12221120010014. Its totient is φ = 12221120010012.

The previous prime is 12221120009977. The next prime is 12221120010019. The reversal of 12221120010013 is 31001002112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6676239480964 + 5544880529049 = 2583842^2 + 2354757^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221120010013 - 2²⁵ = 12221086455581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221120010019) 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, 6110560005006 + 6110560005007.

It is an arithmetic number, because the mean of its divisors is an integer number (6110560005007).

Almost surely, 2^{12221120010013} is an apocalyptic number.

It is an amenable number.

12221120010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221120010013 is an equidigital number, since it uses as much as digits as its factorization.

12221120010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12221120010013 its reverse (31001002112221), we get a palindrome (43222122122234).

The spelling of 12221120010013 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, ten thousand, thirteen".