11001313200 has 120 divisors (see below), whose sum is σ = 35604557968. Its totient is φ = 2903408640.

The previous prime is 11001313187. The next prime is 11001313247. The reversal of 11001313200 is 231310011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69144 + ... + 163656.

Almost surely, 2^11001313200 is an apocalyptic number.

11001313200 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 11001313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802278984).

11001313200 is an abundant number, since it is smaller than the sum of its proper divisors (24603244768).

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

11001313200 is a wasteful number, since it uses less digits than its factorization.

11001313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94631 (or 94620 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11001313200 its reverse (231310011), we get a palindrome (11232623211).

The spelling of 11001313200 in words is "eleven billion, one million, three hundred thirteen thousand, two hundred".