11110111111011 has 48 divisors (see below), whose sum is σ = 16470739764864. Its totient is φ = 6655993344000.

The previous prime is 11110111110991. The next prime is 11110111111051. The reversal of 11110111111011 is 11011111101111.

It is not a de Polignac number, because 11110111111011 - 2¹⁰ = 11110111109987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11110111111051) 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 47 ways as a sum of consecutive naturals, for example, 11766576 + ... + 12675666.

It is an arithmetic number, because the mean of its divisors is an integer number (343140411768).

Almost surely, 2^{11110111111011} is an apocalyptic number.

11110111111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11110111111011 is a deficient number, since it is larger than the sum of its proper divisors (5360628653853).

11110111111011 is a wasteful number, since it uses less digits than its factorization.

11110111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909504 (or 909493 counting only the distinct ones).

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

Adding to 11110111111011 its reverse (11011111101111), we get a palindrome (22121222212122).

It can be divided in two parts, 111101111 and 11011, that multiplied together give a palindrome (1223334333221).

The spelling of 11110111111011 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, eleven".