11101011011000 has 128 divisors (see below), whose sum is σ = 26420988672000. Its totient is φ = 4364425296000.

The previous prime is 11101011010993. The next prime is 11101011011003. The reversal of 11101011011000 is 11011010111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101011011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490337681 + ... + 490360319.

It is an arithmetic number, because the mean of its divisors is an integer number (206413974000).

Almost surely, 2^{11101011011000} is an apocalyptic number.

11101011011000 is a gapful number since it is divisible by the number (10) 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 11101011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210494336000).

11101011011000 is an abundant number, since it is smaller than the sum of its proper divisors (15319977661000).

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

11101011011000 is a wasteful number, since it uses less digits than its factorization.

11101011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31030 (or 31016 counting only the distinct ones).

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

Adding to 11101011011000 its reverse (11011010111), we get a palindrome (11112022021111).

The spelling of 11101011011000 in words is "eleven trillion, one hundred one billion, eleven million, eleven thousand".