11000001000111 has 32 divisors (see below), whose sum is σ = 14998856209920. Its totient is φ = 7169174337024.

The previous prime is 11000001000101. The next prime is 11000001000133. The reversal of 11000001000111 is 11100010000011.

It is a de Polignac number, because none of the positive numbers 2^k-11000001000111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001000101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19493806 + ... + 20050148.

It is an arithmetic number, because the mean of its divisors is an integer number (468714256560).

Almost surely, 2^{11000001000111} is an apocalyptic number.

11000001000111 is a deficient number, since it is larger than the sum of its proper divisors (3998855209809).

11000001000111 is a wasteful number, since it uses less digits than its factorization.

11000001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557215.

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

Adding to 11000001000111 its reverse (11100010000011), we get a palindrome (22100011000122).

The spelling of 11000001000111 in words is "eleven trillion, one million, one hundred eleven", and thus it is an aban number.