13135613 has 2 divisors, whose sum is σ = 13135614. Its totient is φ = 13135612.

The previous prime is 13135601. The next prime is 13135649. The reversal of 13135613 is 31653131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10582009 + 2553604 = 3253^2 + 1598^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135613 - 2¹⁶ = 13070077 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13135673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567806 + 6567807.

It is an arithmetic number, because the mean of its divisors is an integer number (6567807).

Almost surely, 2^13135613 is an apocalyptic number.

It is an amenable number.

13135613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135613 is an equidigital number, since it uses as much as digits as its factorization.

13135613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 13135613 is about 3624.3086237240. The cubic root of 13135613 is about 235.9482614246.

Adding to 13135613 its reverse (31653131), we get a palindrome (44788744).

The spelling of 13135613 in words is "thirteen million, one hundred thirty-five thousand, six hundred thirteen".