111111000011 has 16 divisors (see below), whose sum is σ = 128854886400. Its totient is φ = 94746204000.

The previous prime is 111110999999. The next prime is 111111000041. The reversal of 111111000011 is 110000111111.

It is a cyclic number.

It is not a de Polignac number, because 111111000011 - 2⁶ = 111110999947 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (111111000041) 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, 2610731 + ... + 2652948.

It is an arithmetic number, because the mean of its divisors is an integer number (8053430400).

Almost surely, 2^111111000011 is an apocalyptic number.

111111000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111111000011 is a deficient number, since it is larger than the sum of its proper divisors (17743886389).

111111000011 is a wasteful number, since it uses less digits than its factorization.

111111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263810.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111111000011 its reverse (110000111111), we get a palindrome (221111111122).

Subtracting from 111111000011 its reverse (110000111111), we obtain a square (1110888900 = 33330²).

It can be divided in two parts, 1111 and 11000011, that multiplied together give a palindrome (12221012221).

The spelling of 111111000011 in words is "one hundred eleven billion, one hundred eleven million, eleven", and thus it is an aban number.