11132113300 has 144 divisors (see below), whose sum is σ = 31702970880. Its totient is φ = 3287088000.

The previous prime is 11132113277. The next prime is 11132113303. The reversal of 11132113300 is 331123111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132113303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108255 + ... + 184345.

It is an arithmetic number, because the mean of its divisors is an integer number (220159520).

Almost surely, 2^11132113300 is an apocalyptic number.

11132113300 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 11132113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851485440).

11132113300 is an abundant number, since it is smaller than the sum of its proper divisors (20570857580).

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

11132113300 is a wasteful number, since it uses less digits than its factorization.

11132113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76142 (or 76135 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11132113300 its reverse (331123111), we get a palindrome (11463236411).

The spelling of 11132113300 in words is "eleven billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred".