11111101111011 has 16 divisors (see below), whose sum is σ = 16162146783360. Its totient is φ = 6733773520320.

The previous prime is 11111101111003. The next prime is 11111101111027. The reversal of 11111101111011 is 11011110111111.

It is not a de Polignac number, because 11111101111011 - 2³ = 11111101111003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11111101111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4683106 + ... + 6644823.

It is an arithmetic number, because the mean of its divisors is an integer number (1010134173960).

Almost surely, 2^{11111101111011} is an apocalyptic number.

11111101111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111101111011 is a deficient number, since it is larger than the sum of its proper divisors (5051045672349).

11111101111011 is a wasteful number, since it uses less digits than its factorization.

11111101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357666.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 11111101111011 its reverse (11011110111111), we get a palindrome (22122211222122).

It can be divided in two parts, 1111 and 1101111011, that multiplied together give a palindrome (1223334333221).

The spelling of 11111101111011 in words is "eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, eleven".