11580113 has 2 divisors, whose sum is σ = 11580114. Its totient is φ = 11580112.

The previous prime is 11580103. The next prime is 11580133. The reversal of 11580113 is 31108511.

It is an a-pointer prime, because the next prime (11580133) can be obtained adding 11580113 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11444689 + 135424 = 3383^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 11580113 - 2¹⁴ = 11563729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11580103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5790056 + 5790057.

It is an arithmetic number, because the mean of its divisors is an integer number (5790057).

Almost surely, 2^11580113 is an apocalyptic number.

It is an amenable number.

11580113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11580113 is an equidigital number, since it uses as much as digits as its factorization.

11580113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 11580113 is about 3402.9565086848. The cubic root of 11580113 is about 226.2408024099.

Adding to 11580113 its reverse (31108511), we get a palindrome (42688624).

The spelling of 11580113 in words is "eleven million, five hundred eighty thousand, one hundred thirteen".