11000100111011 has 32 divisors (see below), whose sum is σ = 12277398970368. Its totient is φ = 9769793473440.

The previous prime is 11000100110983. The next prime is 11000100111041. The reversal of 11000100111011 is 11011100100011.

It is a de Polignac number, because none of the positive numbers 2^k-11000100111011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000100111011.

It is not an unprimeable number, because it can be changed into a prime (11000100111041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852252020 + ... + 852264926.

It is an arithmetic number, because the mean of its divisors is an integer number (383668717824).

Almost surely, 2^{11000100111011} is an apocalyptic number.

11000100111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000100111011 is a deficient number, since it is larger than the sum of its proper divisors (1277298859357).

11000100111011 is a wasteful number, since it uses less digits than its factorization.

11000100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11000100111011 its reverse (11011100100011), we get a palindrome (22011200211022).

It can be divided in two parts, 11000100 and 111011, that added together give a palindrome (11111111).

The spelling of 11000100111011 in words is "eleven trillion, one hundred million, one hundred eleven thousand, eleven".