11413132200 has 384 divisors, whose sum is σ = 40529548800. Its totient is φ = 2950594560.

The previous prime is 11413132193. The next prime is 11413132259. The reversal of 11413132200 is 223131411.

It is a super-2 number, since 2×11413132200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48983284 + ... + 48983516.

It is an arithmetic number, because the mean of its divisors is an integer number (105545700).

Almost surely, 2^11413132200 is an apocalyptic number.

11413132200 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 11413132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264774400).

11413132200 is an abundant number, since it is smaller than the sum of its proper divisors (29116416600).

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

11413132200 is a wasteful number, since it uses less digits than its factorization.

11413132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11413132200 its reverse (223131411), we get a palindrome (11636263611).

The spelling of 11413132200 in words is "eleven billion, four hundred thirteen million, one hundred thirty-two thousand, two hundred".