11130000011 has 16 divisors (see below), whose sum is σ = 12722971968. Its totient is φ = 9645312000.

The previous prime is 11129999971. The next prime is 11130000023. The reversal of 11130000011 is 11000003111.

11130000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11130000011 - 2³⁰ = 10056258187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11130000811) 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 in 15 ways as a sum of consecutive naturals, for example, 25826 + ... + 151416.

It is an arithmetic number, because the mean of its divisors is an integer number (795185748).

Almost surely, 2^11130000011 is an apocalyptic number.

11130000011 is a deficient number, since it is larger than the sum of its proper divisors (1592971957).

11130000011 is a wasteful number, since it uses less digits than its factorization.

11130000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126022.

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

Adding to 11130000011 its reverse (11000003111), we get a palindrome (22130003122).

The spelling of 11130000011 in words is "eleven billion, one hundred thirty million, eleven", and thus it is an aban number.