11300133132 has 72 divisors (see below), whose sum is σ = 28915941600. Its totient is φ = 3720423168.

The previous prime is 11300133109. The next prime is 11300133149. The reversal of 11300133132 is 23133100311.

It is a happy number.

11300133132 is a `hidden beast` number, since 1 + 1 + 300 + 1 + 331 + 32 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 6012969 + ... + 6014847.

It is an arithmetic number, because the mean of its divisors is an integer number (401610300).

Almost surely, 2^11300133132 is an apocalyptic number.

11300133132 is a gapful number since it is divisible by the number (12) 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 11300133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457970800).

11300133132 is an abundant number, since it is smaller than the sum of its proper divisors (17615808468).

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

11300133132 is a wasteful number, since it uses less digits than its factorization.

11300133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11300133132 its reverse (23133100311), we get a palindrome (34433233443).

The spelling of 11300133132 in words is "eleven billion, three hundred million, one hundred thirty-three thousand, one hundred thirty-two".