11000000111111 has 16 divisors (see below), whose sum is σ = 13067150774400. Its totient is φ = 9147005532000.

The previous prime is 11000000111057. The next prime is 11000000111119. The reversal of 11000000111111 is 11111100000011.

It is a cyclic number.

It is not a de Polignac number, because 11000000111111 - 2²² = 10999995916807 is a prime.

11000000111111 is a modest number, since divided by 111111 gives 11 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000111119) 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, 907434965 + ... + 907447086.

It is an arithmetic number, because the mean of its divisors is an integer number (816696923400).

Almost surely, 2^{11000000111111} is an apocalyptic number.

11000000111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000000111111 is a deficient number, since it is larger than the sum of its proper divisors (2067150663289).

11000000111111 is a wasteful number, since it uses less digits than its factorization.

11000000111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814882110.

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

Adding to 11000000111111 its reverse (11111100000011), we get a palindrome (22111100111122).

It can be divided in two parts, 1100000011 and 1111, that multiplied together give a palindrome (1222100012221).

The spelling of 11000000111111 in words is "eleven trillion, one hundred eleven thousand, one hundred eleven".