300301313220030 has 192 divisors, whose sum is σ = 795507732777024. Its totient is φ = 72292972953600.

The previous prime is 300301313219993. The next prime is 300301313220031. The reversal of 300301313220030 is 30022313103003.

It is a junction number, because it is equal to n+sod(n) for n = 300301313219979 and 300301313220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300301313220031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52671270 + ... + 58093590.

It is an arithmetic number, because the mean of its divisors is an integer number (4143269441547).

Almost surely, 2^{300301313220030} is an apocalyptic number.

300301313220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300301313220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397753866388512).

300301313220030 is an abundant number, since it is smaller than the sum of its proper divisors (495206419556994).

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

300301313220030 is a wasteful number, since it uses less digits than its factorization.

300301313220030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422523 (or 5422492 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 300301313220030 its reverse (30022313103003), we get a palindrome (330323626323033).

The spelling of 300301313220030 in words is "three hundred trillion, three hundred one billion, three hundred thirteen million, two hundred twenty thousand, thirty".