30013322333120 has 112 divisors (see below), whose sum is σ = 81695411034048. Its totient is φ = 10288228638720.

The previous prime is 30013322333087. The next prime is 30013322333237. The reversal of 30013322333120 is 2133322331003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 30013322333120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9912764 + ... + 12581316.

It is an arithmetic number, because the mean of its divisors is an integer number (729423312804).

Almost surely, 2^{30013322333120} 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 30013322333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40847705517024).

30013322333120 is an abundant number, since it is smaller than the sum of its proper divisors (51682088700928).

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

30013322333120 is a wasteful number, since it uses less digits than its factorization.

30013322333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673598 (or 2673588 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 30013322333120 its reverse (2133322331003), we get a palindrome (32146644664123).

The spelling of 30013322333120 in words is "thirty trillion, thirteen billion, three hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".