11008013 has 2 divisors, whose sum is σ = 11008014. Its totient is φ = 11008012.

The previous prime is 11008009. The next prime is 11008031. The reversal of 11008013 is 31080011.

11008013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (11008031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9746884 + 1261129 = 3122^2 + 1123^2 .

It is a cyclic number.

It is not a de Polignac number, because 11008013 - 2² = 11008009 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11008003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5504006 + 5504007.

It is an arithmetic number, because the mean of its divisors is an integer number (5504007).

Almost surely, 2^11008013 is an apocalyptic number.

It is an amenable number.

11008013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11008013 is an equidigital number, since it uses as much as digits as its factorization.

11008013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11008013 is about 3317.8325756433. The cubic root of 11008013 is about 222.4519982297.

Adding to 11008013 its reverse (31080011), we get a palindrome (42088024).

The spelling of 11008013 in words is "eleven million, eight thousand, thirteen".