13123304013221 has 2 divisors, whose sum is σ = 13123304013222. Its totient is φ = 13123304013220.

The previous prime is 13123304013173. The next prime is 13123304013229. The reversal of 13123304013221 is 12231040332131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9554930121025 + 3568373892196 = 3091105^2 + 1889014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123304013221 is a prime.

It is a super-2 number, since 2×13123304013221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123304013229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561652006610 + 6561652006611.

It is an arithmetic number, because the mean of its divisors is an integer number (6561652006611).

Almost surely, 2^{13123304013221} is an apocalyptic number.

It is an amenable number.

13123304013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123304013221 is an equidigital number, since it uses as much as digits as its factorization.

13123304013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13123304013221 its reverse (12231040332131), we get a palindrome (25354344345352).

The spelling of 13123304013221 in words is "thirteen trillion, one hundred twenty-three billion, three hundred four million, thirteen thousand, two hundred twenty-one".