11000010000111 has 32 divisors (see below), whose sum is σ = 16798780166400. Its totient is φ = 6340715969280.

The previous prime is 11000010000043. The next prime is 11000010000113. The reversal of 11000010000111 is 11100001000011.

It is not a de Polignac number, because 11000010000111 - 2¹⁵ = 11000009967343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000010000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000010000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85713966 + ... + 85842203.

It is an arithmetic number, because the mean of its divisors is an integer number (524961880200).

Almost surely, 2^{11000010000111} is an apocalyptic number.

11000010000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000010000111 is a deficient number, since it is larger than the sum of its proper divisors (5798770166289).

11000010000111 is a wasteful number, since it uses less digits than its factorization.

11000010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171556279.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000010000111 its reverse (11100001000011), we get a palindrome (22100011000122).

The spelling of 11000010000111 in words is "eleven trillion, ten million, one hundred eleven", and thus it is an aban number.