11101101000011 has 16 divisors (see below), whose sum is σ = 12145057488000. Its totient is φ = 10062940926720.

The previous prime is 11101101000001. The next prime is 11101101000019. The reversal of 11101101000011 is 11000010110111.

It is not a de Polignac number, because 11101101000011 - 2²⁶ = 11101033891147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101101000019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180524876 + ... + 180586358.

It is an arithmetic number, because the mean of its divisors is an integer number (759066093000).

Almost surely, 2^{11101101000011} is an apocalyptic number.

11101101000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101101000011 is a deficient number, since it is larger than the sum of its proper divisors (1043956487989).

11101101000011 is a wasteful number, since it uses less digits than its factorization.

11101101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108346.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11101101000011 its reverse (11000010110111), we get a palindrome (22101111110122).

The spelling of 11101101000011 in words is "eleven trillion, one hundred one billion, one hundred one million, eleven", and thus it is an aban number.