11000113200 has 240 divisors, whose sum is σ = 39304284960. Its totient is φ = 2921978880.

The previous prime is 11000113139. The next prime is 11000113207. The reversal of 11000113200 is 231100011.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (11000113207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989762 + ... + 2993438.

It is an arithmetic number, because the mean of its divisors is an integer number (163767854).

Almost surely, 2^11000113200 is an apocalyptic number.

11000113200 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 11000113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652142480).

11000113200 is an abundant number, since it is smaller than the sum of its proper divisors (28304171760).

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

11000113200 is a wasteful number, since it uses less digits than its factorization.

11000113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000113200 its reverse (231100011), we get a palindrome (11231213211).

It can be divided in two parts, 110001 and 13200, that added together give a square (123201 = 351²).

The spelling of 11000113200 in words is "eleven billion, one hundred thirteen thousand, two hundred".