11000300300300 has 72 divisors (see below), whose sum is σ = 26219480179200. Its totient is φ = 3987294189120.

The previous prime is 11000300300293. The next prime is 11000300300317. The reversal of 11000300300300 is 300300300011.

11000300300300 is a modest number, since divided by 300300300 gives 11000 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125817860 + ... + 125905259.

Almost surely, 2^{11000300300300} is an apocalyptic number.

11000300300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000300300300 is an abundant number, since it is smaller than the sum of its proper divisors (15219179878900).

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

11000300300300 is a wasteful number, since it uses less digits than its factorization.

11000300300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251723175 (or 251723168 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 11000300300300 its reverse (300300300011), we get a palindrome (11300600600311).

The spelling of 11000300300300 in words is "eleven trillion, three hundred million, three hundred thousand, three hundred".