13013113261 has 2 divisors, whose sum is σ = 13013113262. Its totient is φ = 13013113260.

The previous prime is 13013113187. The next prime is 13013113273. The reversal of 13013113261 is 16231131031.

13013113261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12909277161 + 103836100 = 113619^2 + 10190^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013113261 - 2²⁵ = 12979558829 is a prime.

It is a super-2 number, since 2×13013113261² (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 (13013113291) 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, 6506556630 + 6506556631.

It is an arithmetic number, because the mean of its divisors is an integer number (6506556631).

Almost surely, 2^13013113261 is an apocalyptic number.

It is an amenable number.

13013113261 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013113261 is an equidigital number, since it uses as much as digits as its factorization.

13013113261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13013113261 its reverse (16231131031), we get a palindrome (29244244292).

The spelling of 13013113261 in words is "thirteen billion, thirteen million, one hundred thirteen thousand, two hundred sixty-one".