13081613 has 2 divisors, whose sum is σ = 13081614. Its totient is φ = 13081612.

The previous prime is 13081591. The next prime is 13081631. The reversal of 13081613 is 31618031.

13081613 = 2557² + 2558².

13081613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13081631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6543364 + 6538249 = 2558^2 + 2557^2 .

It is a cyclic number.

It is not a de Polignac number, because 13081613 - 2²⁰ = 12033037 is a prime.

It is a super-2 number, since 2×13081613² = 342257197363538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13081213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6540806 + 6540807.

It is an arithmetic number, because the mean of its divisors is an integer number (6540807).

Almost surely, 2^13081613 is an apocalyptic number.

13081613 is the 2558-th centered square number.

It is an amenable number.

13081613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13081613 is an equidigital number, since it uses as much as digits as its factorization.

13081613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13081613 is about 3616.8512548901. The cubic root of 13081613 is about 235.6244926077.

Adding to 13081613 its reverse (31618031), we get a palindrome (44699644).

The spelling of 13081613 in words is "thirteen million, eighty-one thousand, six hundred thirteen".