11303311200 has 144 divisors (see below), whose sum is σ = 36857640960. Its totient is φ = 3008862720.

The previous prime is 11303311193. The next prime is 11303311213. The reversal of 11303311200 is 211330311.

11303311200 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-3 number, since 3×11303311200³ (a number of 31 digits) contains 333 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 11303311200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1452921 + ... + 1460679.

It is an arithmetic number, because the mean of its divisors is an integer number (255955840).

Almost surely, 2^11303311200 is an apocalyptic number.

11303311200 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 11303311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428820480).

11303311200 is an abundant number, since it is smaller than the sum of its proper divisors (25554329760).

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

11303311200 is a wasteful number, since it uses less digits than its factorization.

11303311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11303311200 its reverse (211330311), we get a palindrome (11514641511).

The spelling of 11303311200 in words is "eleven billion, three hundred three million, three hundred eleven thousand, two hundred".