300001331133300 has 144 divisors (see below), whose sum is σ = 872475943090752. Its totient is φ = 79589127168000.

The previous prime is 300001331133293. The next prime is 300001331133379. The reversal of 300001331133300 is 3331133100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47760775 + ... + 53675825.

It is an arithmetic number, because the mean of its divisors is an integer number (6058860715908).

Almost surely, 2^{300001331133300} is an apocalyptic number.

300001331133300 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 300001331133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436237971545376).

300001331133300 is an abundant number, since it is smaller than the sum of its proper divisors (572474611957452).

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

300001331133300 is a wasteful number, since it uses less digits than its factorization.

300001331133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915938 (or 5915931 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 300001331133300 its reverse (3331133100003), we get a palindrome (303332464233303).

The spelling of 300001331133300 in words is "three hundred trillion, one billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred".