300003201300000 has 432 divisors, whose sum is σ = 1081941395193792. Its totient is φ = 72728040000000.

The previous prime is 300003201299999. The next prime is 300003201300017. The reversal of 300003201300000 is 3102300003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32167725 + ... + 40432275.

It is an arithmetic number, because the mean of its divisors is an integer number (2504493970356).

Almost surely, 2^{300003201300000} is an apocalyptic number.

300003201300000 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 300003201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540970697596896).

300003201300000 is an abundant number, since it is smaller than the sum of its proper divisors (781938193893792).

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

300003201300000 is an equidigital number, since it uses as much as digits as its factorization.

300003201300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264611 (or 8264572 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 300003201300000 its reverse (3102300003), we get a palindrome (300006303600003).

The spelling of 300003201300000 in words is "three hundred trillion, three billion, two hundred one million, three hundred thousand".