11134332300 has 576 divisors, whose sum is σ = 41552451584. Its totient is φ = 2239488000.

The previous prime is 11134332283. The next prime is 11134332317. The reversal of 11134332300 is 323343111.

11134332300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11134332283) and next prime (11134332317).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 73737225 + ... + 73737375.

Almost surely, 2^11134332300 is an apocalyptic number.

11134332300 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 11134332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776225792).

11134332300 is an abundant number, since it is smaller than the sum of its proper divisors (30418119284).

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

11134332300 is a wasteful number, since it uses less digits than its factorization.

11134332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11134332300 its reverse (323343111), we get a palindrome (11457675411).

The spelling of 11134332300 in words is "eleven billion, one hundred thirty-four million, three hundred thirty-two thousand, three hundred".