13580113 has 2 divisors, whose sum is σ = 13580114. Its totient is φ = 13580112.

The previous prime is 13580111. The next prime is 13580153. The reversal of 13580113 is 31108531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8862529 + 4717584 = 2977^2 + 2172^2 .

It is a cyclic number.

It is not a de Polignac number, because 13580113 - 2¹ = 13580111 is a prime.

Together with 13580111, it forms a pair of twin primes.

It is a zygodrome in base 7.

It is not a weakly prime, because it can be changed into another prime (13580111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6790056 + 6790057.

It is an arithmetic number, because the mean of its divisors is an integer number (6790057).

Almost surely, 2^13580113 is an apocalyptic number.

It is an amenable number.

13580113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13580113 is an equidigital number, since it uses as much as digits as its factorization.

13580113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 13580113 is about 3685.1204864970. The cubic root of 13580113 is about 238.5802345687.

Adding to 13580113 its reverse (31108531), we get a palindrome (44688644).

The spelling of 13580113 in words is "thirteen million, five hundred eighty thousand, one hundred thirteen".