11132113200 has 120 divisors (see below), whose sum is σ = 38402989968. Its totient is φ = 2740208640.

The previous prime is 11132113189. The next prime is 11132113259. The reversal of 11132113200 is 231123111.

11132113200 = 18636² + 18637² + ... + 18667².

It is a happy number.

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

It is a super-2 number, since 2×11132113200² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11132113200.

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, 341199 + ... + 372398.

Almost surely, 2^11132113200 is an apocalyptic number.

11132113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132113200 is an abundant number, since it is smaller than the sum of its proper divisors (27270876768).

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

11132113200 is a wasteful number, since it uses less digits than its factorization.

11132113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713631 (or 713620 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11132113200 its reverse (231123111), we get a palindrome (11363236311).

The spelling of 11132113200 in words is "eleven billion, one hundred thirty-two million, one hundred thirteen thousand, two hundred".