11332002300 has 144 divisors (see below), whose sum is σ = 34746213600. Its totient is φ = 2846412800.

The previous prime is 11332002289. The next prime is 11332002301. The reversal of 11332002300 is 320023311.

11332002300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11332002300² (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 11332002300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340816 + ... + 372584.

It is an arithmetic number, because the mean of its divisors is an integer number (241293150).

Almost surely, 2^11332002300 is an apocalyptic number.

11332002300 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 11332002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373106800).

11332002300 is an abundant number, since it is smaller than the sum of its proper divisors (23414211300).

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

11332002300 is a wasteful number, since it uses less digits than its factorization.

11332002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856 (or 31849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11332002300 its reverse (320023311), we get a palindrome (11652025611).

The spelling of 11332002300 in words is "eleven billion, three hundred thirty-two million, two thousand, three hundred".