300133321013120 has 128 divisors (see below), whose sum is σ = 820076354242560. Its totient is φ = 102894163347456.

The previous prime is 300133321013117. The next prime is 300133321013129. The reversal of 300133321013120 is 21310123331003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300133321013129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50341457 + ... + 55986863.

It is an arithmetic number, because the mean of its divisors is an integer number (6406846517520).

Almost surely, 2^{300133321013120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300133321013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410038177121280).

300133321013120 is an abundant number, since it is smaller than the sum of its proper divisors (519943033229440).

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

300133321013120 is a wasteful number, since it uses less digits than its factorization.

300133321013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657300 (or 5657288 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 300133321013120 its reverse (21310123331003), we get a palindrome (321443444344123).

The spelling of 300133321013120 in words is "three hundred trillion, one hundred thirty-three billion, three hundred twenty-one million, thirteen thousand, one hundred twenty".