11000010113 has 2 divisors, whose sum is σ = 11000010114. Its totient is φ = 11000010112.

The previous prime is 11000010101. The next prime is 11000010137. The reversal of 11000010113 is 31101000011.

11000010113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9771717904 + 1228292209 = 98852^2 + 35047^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000010113 - 2¹⁰ = 11000009089 is a prime.

It is a super-2 number, since 2×11000010113² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11000010113.

It is not a weakly prime, because it can be changed into another prime (11000030113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500005056 + 5500005057.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005057).

Almost surely, 2^11000010113 is an apocalyptic number.

It is an amenable number.

11000010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000010113 is an equidigital number, since it uses as much as digits as its factorization.

11000010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11000010113 its reverse (31101000011), we get a palindrome (42101010124).

The spelling of 11000010113 in words is "eleven billion, ten thousand, one hundred thirteen".