11011111111111 has 4 divisors (see below), whose sum is σ = 11011177233000. Its totient is φ = 11011044989224.

The previous prime is 11011111111093. The next prime is 11011111111141. The reversal of 11011111111111 is 11111111111011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 11011111111111 - 2⁷ = 11011111110983 is a prime.

It is a Duffinian number.

11011111111111 is a modest number, since divided by 1111111 gives 1101111 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11011111111091 and 11011111111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32810521 + ... + 33144418.

It is an arithmetic number, because the mean of its divisors is an integer number (2752794308250).

Almost surely, 2^{11011111111111} is an apocalyptic number.

11011111111111 is a deficient number, since it is larger than the sum of its proper divisors (66121889).

11011111111111 is an equidigital number, since it uses as much as digits as its factorization.

11011111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66121888.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 11011111111111 its reverse (11111111111011), we get a palindrome (22122222222122).

It can be divided in two parts, 11011 and 111111111, that multiplied together give a palindrome (1223444443221).

The spelling of 11011111111111 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".