300221002013301 has 20 divisors (see below), whose sum is σ = 448480122046924. Its totient is φ = 200146515710400.

The previous prime is 300221002013243. The next prime is 300221002013399. The reversal of 300221002013301 is 103310200122003.

300221002013301 is a `hidden beast` number, since 30 + 0 + 2 + 2 + 100 + 201 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67310702576100 + 232910299437201 = 8204310^2 + 15261399^2 .

It is not a de Polignac number, because 300221002013301 - 2³⁸ = 299946124106357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300221002013501) 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 19 ways as a sum of consecutive naturals, for example, 12666561 + ... + 27584121.

Almost surely, 2^{300221002013301} is an apocalyptic number.

It is an amenable number.

300221002013301 is a deficient number, since it is larger than the sum of its proper divisors (148259120033623).

300221002013301 is a wasteful number, since it uses less digits than its factorization.

300221002013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166034 (or 15166025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300221002013301 its reverse (103310200122003), we get a palindrome (403531202135304).

The spelling of 300221002013301 in words is "three hundred trillion, two hundred twenty-one billion, two million, thirteen thousand, three hundred one".