12220123300013 has 2 divisors, whose sum is σ = 12220123300014. Its totient is φ = 12220123300012.

The previous prime is 12220123299973. The next prime is 12220123300027. The reversal of 12220123300013 is 31000332102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8309486533924 + 3910636766089 = 2882618^2 + 1977533^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220123300013 - 2⁸ = 12220123299757 is a prime.

It is a super-2 number, since 2×12220123300013² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220123300093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110061650006 + 6110061650007.

It is an arithmetic number, because the mean of its divisors is an integer number (6110061650007).

Almost surely, 2^{12220123300013} is an apocalyptic number.

It is an amenable number.

12220123300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220123300013 is an equidigital number, since it uses as much as digits as its factorization.

12220123300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12220123300013 its reverse (31000332102221), we get a palindrome (43220455402234).

The spelling of 12220123300013 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-three million, three hundred thousand, thirteen".