11111313200 has 120 divisors (see below), whose sum is σ = 28818468000. Its totient is φ = 4092641280.

The previous prime is 11111313197. The next prime is 11111313209. The reversal of 11111313200 is 231311111.

It is a happy number.

It is a super-2 number, since 2×11111313200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11111313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332421 + ... + 2337179.

It is an arithmetic number, because the mean of its divisors is an integer number (240153900).

Almost surely, 2^11111313200 is an apocalyptic number.

11111313200 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 11111313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409234000).

11111313200 is an abundant number, since it is smaller than the sum of its proper divisors (17707154800).

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

11111313200 is a wasteful number, since it uses less digits than its factorization.

11111313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11111313200 its reverse (231311111), we get a palindrome (11342624311).

The spelling of 11111313200 in words is "eleven billion, one hundred eleven million, three hundred thirteen thousand, two hundred".