13213222312013 has 2 divisors, whose sum is σ = 13213222312014. Its totient is φ = 13213222312012.

The previous prime is 13213222311941. The next prime is 13213222312067. The reversal of 13213222312013 is 31021322231231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9789527107684 + 3423695204329 = 3128822^2 + 1850323^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13213222312013 is a prime.

It is a super-2 number, since 2×13213222312013² (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 (13213222302013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606611156006 + 6606611156007.

It is an arithmetic number, because the mean of its divisors is an integer number (6606611156007).

Almost surely, 2^{13213222312013} is an apocalyptic number.

It is an amenable number.

13213222312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213222312013 is an equidigital number, since it uses as much as digits as its factorization.

13213222312013 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 13213222312013 its reverse (31021322231231), we get a palindrome (44234544543244).

The spelling of 13213222312013 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred twelve thousand, thirteen".