11100813000 has 256 divisors, whose sum is σ = 36843206400. Its totient is φ = 2773094400.

The previous prime is 11100812999. The next prime is 11100813011. The reversal of 11100813000 is 31800111.

11100813000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15656646 + ... + 15657354.

It is an arithmetic number, because the mean of its divisors is an integer number (143918775).

Almost surely, 2^11100813000 is an apocalyptic number.

11100813000 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 11100813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421603200).

11100813000 is an abundant number, since it is smaller than the sum of its proper divisors (25742393400).

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

11100813000 is a wasteful number, since it uses less digits than its factorization.

11100813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The spelling of 11100813000 in words is "eleven billion, one hundred million, eight hundred thirteen thousand".