11001100110111 has 24 divisors (see below), whose sum is σ = 16882707235680. Its totient is φ = 6889784965056.

The previous prime is 11001100110101. The next prime is 11001100110137. The reversal of 11001100110111 is 11101100110011.

It is a de Polignac number, because none of the positive numbers 2^k-11001100110111 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 = 11001100110093 and 11001100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100110101) 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 23 ways as a sum of consecutive naturals, for example, 569582355 + ... + 569601668.

It is an arithmetic number, because the mean of its divisors is an integer number (703446134820).

Almost surely, 2^{11001100110111} is an apocalyptic number.

11001100110111 is a deficient number, since it is larger than the sum of its proper divisors (5881607125569).

11001100110111 is a wasteful number, since it uses less digits than its factorization.

11001100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139184095 (or 1139184092 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001100110111 its reverse (11101100110011), we get a palindrome (22102200220122).

The spelling of 11001100110111 in words is "eleven trillion, one billion, one hundred million, one hundred ten thousand, one hundred eleven".