13013211301 has 2 divisors, whose sum is σ = 13013211302. Its totient is φ = 13013211300.

The previous prime is 13013211287. The next prime is 13013211347. The reversal of 13013211301 is 10311231031.

13013211301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11869013025 + 1144198276 = 108945^2 + 33826^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013211301 - 2⁷ = 13013211173 is a prime.

It is a super-2 number, since 2×13013211301² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013211401) 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, 6506605650 + 6506605651.

It is an arithmetic number, because the mean of its divisors is an integer number (6506605651).

Almost surely, 2^13013211301 is an apocalyptic number.

It is an amenable number.

13013211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013211301 is an equidigital number, since it uses as much as digits as its factorization.

13013211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13013211301 its reverse (10311231031), we get a palindrome (23324442332).

The spelling of 13013211301 in words is "thirteen billion, thirteen million, two hundred eleven thousand, three hundred one".