11011001100111 has 12 divisors (see below), whose sum is σ = 15904809450192. Its totient is φ = 7340653515456.

The previous prime is 11011001100109. The next prime is 11011001100149. The reversal of 11011001100111 is 11100110011011.

It is not a de Polignac number, because 11011001100111 - 2¹ = 11011001100109 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 = 11011001100093 and 11011001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001108111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6608790 + ... + 8105436.

It is an arithmetic number, because the mean of its divisors is an integer number (1325400787516).

Almost surely, 2^{11011001100111} is an apocalyptic number.

11011001100111 is a deficient number, since it is larger than the sum of its proper divisors (4893808350081).

11011001100111 is a wasteful number, since it uses less digits than its factorization.

11011001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314110 (or 2314107 counting only the distinct ones).

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

Adding to 11011001100111 its reverse (11100110011011), we get a palindrome (22111111111122).

The spelling of 11011001100111 in words is "eleven trillion, eleven billion, one million, one hundred thousand, one hundred eleven".