11132013200 has 480 divisors, whose sum is σ = 35072040960. Its totient is φ = 3294720000.

The previous prime is 11132013199. The next prime is 11132013259. The reversal of 11132013200 is 231023111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84977135 + ... + 84977265.

It is an arithmetic number, because the mean of its divisors is an integer number (73066752).

Almost surely, 2^11132013200 is an apocalyptic number.

11132013200 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 11132013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536020480).

11132013200 is an abundant number, since it is smaller than the sum of its proper divisors (23940027760).

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

11132013200 is a wasteful number, since it uses less digits than its factorization.

11132013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11132013200 its reverse (231023111), we get a palindrome (11363036311).

The spelling of 11132013200 in words is "eleven billion, one hundred thirty-two million, thirteen thousand, two hundred".