11011000113 has 20 divisors (see below), whose sum is σ = 17416093860. Its totient is φ = 6908861952.

The previous prime is 11011000087. The next prime is 11011000159. The reversal of 11011000113 is 31100011011.

It can be written as a sum of positive squares in 2 ways, for example, as 6142170384 + 4868829729 = 78372^2 + 69777^2 .

It is not a de Polignac number, because 11011000113 - 2²⁶ = 10943891249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011000095 and 11011000104.

It is not an unprimeable number, because it can be changed into a prime (11011000193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3996808 + ... + 3999561.

It is an arithmetic number, because the mean of its divisors is an integer number (870804693).

Almost surely, 2^11011000113 is an apocalyptic number.

It is an amenable number.

11011000113 is a deficient number, since it is larger than the sum of its proper divisors (6405093747).

11011000113 is an equidigital number, since it uses as much as digits as its factorization.

11011000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996398 (or 7996389 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11011000113 its reverse (31100011011), we get a palindrome (42111011124).

The spelling of 11011000113 in words is "eleven billion, eleven million, one hundred thirteen", and thus it is an aban number.