11200300311300 has 72 divisors (see below), whose sum is σ = 32574110186016. Its totient is φ = 2971271362560.

The previous prime is 11200300311247. The next prime is 11200300311307. The reversal of 11200300311300 is 311300300211.

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 11200300311300.

It is not an unprimeable number, because it can be changed into a prime (11200300311307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96663174 + ... + 96778973.

It is an arithmetic number, because the mean of its divisors is an integer number (452418197028).

Almost surely, 2^{11200300311300} is an apocalyptic number.

11200300311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200300311300 is an abundant number, since it is smaller than the sum of its proper divisors (21373809874716).

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

11200300311300 is a wasteful number, since it uses less digits than its factorization.

11200300311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193442357 (or 193442350 counting only the distinct ones).

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

Adding to 11200300311300 its reverse (311300300211), we get a palindrome (11511600611511).

The spelling of 11200300311300 in words is "eleven trillion, two hundred billion, three hundred million, three hundred eleven thousand, three hundred".