11000100000011 has 16 divisors (see below), whose sum is σ = 11669667148800. Its totient is φ = 10333038860928.

The previous prime is 11000100000007. The next prime is 11000100000047. The reversal of 11000100000011 is 11000000100011.

It is a cyclic number.

It is not a de Polignac number, because 11000100000011 - 2² = 11000100000007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000099999950 and 11000100000004.

It is not an unprimeable number, because it can be changed into a prime (11000100000611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63838670 + ... + 64010748.

It is an arithmetic number, because the mean of its divisors is an integer number (729354196800).

Almost surely, 2^{11000100000011} is an apocalyptic number.

11000100000011 is a deficient number, since it is larger than the sum of its proper divisors (669567148789).

11000100000011 is a wasteful number, since it uses less digits than its factorization.

11000100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179338.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000100000011 its reverse (11000000100011), we get a palindrome (22000100100022).

The spelling of 11000100000011 in words is "eleven trillion, one hundred million, eleven", and thus it is an aban number.