13102220321413 has 2 divisors, whose sum is σ = 13102220321414. Its totient is φ = 13102220321412.

The previous prime is 13102220321219. The next prime is 13102220321441. The reversal of 13102220321413 is 31412302220131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9556617938884 + 3545602382529 = 3091378^2 + 1882977^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102220321413 - 2⁹ = 13102220320901 is a prime.

It is a super-3 number, since 3×13102220321413³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13102220322413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551110160706 + 6551110160707.

It is an arithmetic number, because the mean of its divisors is an integer number (6551110160707).

Almost surely, 2^{13102220321413} is an apocalyptic number.

It is an amenable number.

13102220321413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102220321413 is an equidigital number, since it uses as much as digits as its factorization.

13102220321413 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 13102220321413 its reverse (31412302220131), we get a palindrome (44514522541544).

The spelling of 13102220321413 in words is "thirteen trillion, one hundred two billion, two hundred twenty million, three hundred twenty-one thousand, four hundred thirteen".