300032020213300 has 72 divisors (see below), whose sum is σ = 653536138556952. Its totient is φ = 119558320896000.

The previous prime is 300032020213273. The next prime is 300032020213307. The reversal of 300032020213300 is 3312020230003.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 64466864323876 + 235565155889424 = 8029126^2 + 15348132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300032020213307) 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, 121660480 + ... + 124102120.

It is an arithmetic number, because the mean of its divisors is an integer number (9076890813291).

Almost surely, 2^{300032020213300} is an apocalyptic number.

It is an amenable number.

300032020213300 is an abundant number, since it is smaller than the sum of its proper divisors (353504118343652).

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

300032020213300 is a wasteful number, since it uses less digits than its factorization.

300032020213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446309 (or 2446302 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 300032020213300 its reverse (3312020230003), we get a palindrome (303344040443303).

The spelling of 300032020213300 in words is "three hundred trillion, thirty-two billion, twenty million, two hundred thirteen thousand, three hundred".