11001001110111 has 24 divisors (see below), whose sum is σ = 16091745696000. Its totient is φ = 7241045013072.

The previous prime is 11001001110083. The next prime is 11001001110149. The reversal of 11001001110111 is 11101110010011.

11001001110111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001001110111 - 2⁵ = 11001001110079 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 = 11001001110093 and 11001001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001001110311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68359780 + ... + 68520518.

It is an arithmetic number, because the mean of its divisors is an integer number (670489404000).

Almost surely, 2^{11001001110111} is an apocalyptic number.

11001001110111 is a deficient number, since it is larger than the sum of its proper divisors (5090744585889).

11001001110111 is a wasteful number, since it uses less digits than its factorization.

11001001110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257083 (or 257080 counting only the distinct ones).

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

Adding to 11001001110111 its reverse (11101110010011), we get a palindrome (22102111120122).

The spelling of 11001001110111 in words is "eleven trillion, one billion, one million, one hundred ten thousand, one hundred eleven".