11001111101111 has 16 divisors (see below), whose sum is σ = 11385783964800. Its totient is φ = 10616794530048.

The previous prime is 11001111101077. The next prime is 11001111101137. The reversal of 11001111101111 is 11110111110011.

11001111101111 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 a de Polignac number, because none of the positive numbers 2^k-11001111101111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001111101092 and 11001111101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111101611) 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, 975875771 + ... + 975887043.

It is an arithmetic number, because the mean of its divisors is an integer number (711611497800).

Almost surely, 2^{11001111101111} is an apocalyptic number.

11001111101111 is a deficient number, since it is larger than the sum of its proper divisors (384672863689).

11001111101111 is a wasteful number, since it uses less digits than its factorization.

11001111101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24058.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11001111101111 its reverse (11110111110011), we get a palindrome (22111222211122).

The spelling of 11001111101111 in words is "eleven trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred eleven".