13022210321413 has 2 divisors, whose sum is σ = 13022210321414. Its totient is φ = 13022210321412.

The previous prime is 13022210321401. The next prime is 13022210321431. The reversal of 13022210321413 is 31412301222031.

Together with next prime (13022210321431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7674933314689 + 5347277006724 = 2770367^2 + 2312418^2 .

It is an emirp because it is prime and its reverse (31412301222031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022210321413 - 2²⁵ = 13022176766981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022210321213) 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, 6511105160706 + 6511105160707.

It is an arithmetic number, because the mean of its divisors is an integer number (6511105160707).

Almost surely, 2^{13022210321413} is an apocalyptic number.

It is an amenable number.

13022210321413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022210321413 is an equidigital number, since it uses as much as digits as its factorization.

13022210321413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13022210321413 its reverse (31412301222031), we get a palindrome (44434511543444).

The spelling of 13022210321413 in words is "thirteen trillion, twenty-two billion, two hundred ten million, three hundred twenty-one thousand, four hundred thirteen".