11101110111136 has 96 divisors (see below), whose sum is σ = 22893640338240. Its totient is φ = 5291742038016.

The previous prime is 11101110111059. The next prime is 11101110111137. The reversal of 11101110111136 is 63111101110111.

It is not an unprimeable number, because it can be changed into a prime (11101110111137) 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, 146846980 + ... + 146922556.

It is an arithmetic number, because the mean of its divisors is an integer number (238475420190).

Almost surely, 2^{11101110111136} is an apocalyptic number.

11101110111136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101110111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446820169120).

11101110111136 is an abundant number, since it is smaller than the sum of its proper divisors (11792530227104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101110111136 is a wasteful number, since it uses less digits than its factorization.

11101110111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77606 (or 77598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 19.

Adding to 11101110111136 its reverse (63111101110111), we get a palindrome (74212211221247).

The spelling of 11101110111136 in words is "eleven trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred thirty-six".