200301330300000 has 576 divisors, whose sum is σ = 675721337066496. Its totient is φ = 51917760000000.

The previous prime is 200301330299981. The next prime is 200301330300109. The reversal of 200301330300000 is 3033103002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3333269955 + ... + 3333330045.

It is an arithmetic number, because the mean of its divisors is an integer number (1173127321296).

Almost surely, 2^{200301330300000} is an apocalyptic number.

200301330300000 is a gapful number since it is divisible by the number (20) 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 200301330300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337860668533248).

200301330300000 is an abundant number, since it is smaller than the sum of its proper divisors (475420006766496).

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

200301330300000 is an equidigital number, since it uses as much as digits as its factorization.

200301330300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60441 (or 60413 counting only the distinct ones).

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

Adding to 200301330300000 its reverse (3033103002), we get a palindrome (200304363403002).

The spelling of 200301330300000 in words is "two hundred trillion, three hundred one billion, three hundred thirty million, three hundred thousand".