300213003300 has 144 divisors (see below), whose sum is σ = 992991777792. Its totient is φ = 68600246400.

The previous prime is 300213003271. The next prime is 300213003301. The reversal of 300213003300 is 3300312003.

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 300213003300.

It is not an unprimeable number, because it can be changed into a prime (300213003301) 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, 7967505 + ... + 8005095.

Almost surely, 2^300213003300 is an apocalyptic number.

300213003300 is a gapful number since it is divisible by the number (30) 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 300213003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496495888896).

300213003300 is an abundant number, since it is smaller than the sum of its proper divisors (692778774492).

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

300213003300 is a wasteful number, since it uses less digits than its factorization.

300213003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41418 (or 41411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 300213003300 its reverse (3300312003), we get a palindrome (303513315303).

The spelling of 300213003300 in words is "three hundred billion, two hundred thirteen million, three thousand, three hundred".