11101001110011 has 24 divisors (see below), whose sum is σ = 16095446565120. Its totient is φ = 7372670789376.

The previous prime is 11101001109949. The next prime is 11101001110019. The reversal of 11101001110011 is 11001110010111.

It is not a de Polignac number, because 11101001110011 - 2¹⁷ = 11101000978939 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101001109975 and 11101001110002.

It is not an unprimeable number, because it can be changed into a prime (11101001110019) 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 23 ways as a sum of consecutive naturals, for example, 38745795 + ... + 39031251.

It is an arithmetic number, because the mean of its divisors is an integer number (670643606880).

Almost surely, 2^{11101001110011} is an apocalyptic number.

11101001110011 is a deficient number, since it is larger than the sum of its proper divisors (4994445455109).

11101001110011 is a wasteful number, since it uses less digits than its factorization.

11101001110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301795 (or 301792 counting only the distinct ones).

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

Adding to 11101001110011 its reverse (11001110010111), we get a palindrome (22102111120122).

The spelling of 11101001110011 in words is "eleven trillion, one hundred one billion, one million, one hundred ten thousand, eleven".