11000001111111 has 12 divisors (see below), whose sum is σ = 15928912893192. Its totient is φ = 7314862197456.

The previous prime is 11000001111053. The next prime is 11000001111131. The reversal of 11000001111111 is 11111110000011.

It is not a de Polignac number, because 11000001111111 - 2¹⁵ = 11000001078343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

11000001111111 is a modest number, since divided by 1111111 gives 1100000 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000001111093 and 11000001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001111131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1539319281 + ... + 1539326426.

It is an arithmetic number, because the mean of its divisors is an integer number (1327409407766).

Almost surely, 2^{11000001111111} is an apocalyptic number.

11000001111111 is a deficient number, since it is larger than the sum of its proper divisors (4928911782081).

11000001111111 is a wasteful number, since it uses less digits than its factorization.

11000001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078646110 (or 3078646107 counting only the distinct ones).

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

Adding to 11000001111111 its reverse (11111110000011), we get a palindrome (22111111111122).

Subtracting 11000001111111 from its reverse (11111110000011), we obtain a square (111108888900 = 333330²).

It can be divided in two parts, 110000011 and 11111, that multiplied together give a palindrome (1222210122221).

The spelling of 11000001111111 in words is "eleven trillion, one million, one hundred eleven thousand, one hundred eleven".