13205113 has 8 divisors (see below), whose sum is σ = 13382600. Its totient is φ = 13029120.

The previous prime is 13205099. The next prime is 13205117. The reversal of 13205113 is 31150231.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 9715689 = 1868^2 + 3117^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13205113 - 2⁵ = 13205081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13205117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37663 + ... + 38011.

It is an arithmetic number, because the mean of its divisors is an integer number (1672825).

Almost surely, 2^13205113 is an apocalyptic number.

It is an amenable number.

13205113 is a deficient number, since it is larger than the sum of its proper divisors (177487).

13205113 is a wasteful number, since it uses less digits than its factorization.

13205113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13205113 is about 3633.8840102568. The cubic root of 13205113 is about 236.3636605836.

Adding to 13205113 its reverse (31150231), we get a palindrome (44355344).

The spelling of 13205113 in words is "thirteen million, two hundred five thousand, one hundred thirteen".