20130300330330 has 256 divisors, whose sum is σ = 53525654138880. Its totient is φ = 4825702490112.

The previous prime is 20130300330323. The next prime is 20130300330353. The reversal of 20130300330330 is 3303300303102.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20130300330297 and 20130300330306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610307019 + ... + 610340001.

It is an arithmetic number, because the mean of its divisors is an integer number (209084586480).

Almost surely, 2^{20130300330330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130300330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762827069440).

20130300330330 is an abundant number, since it is smaller than the sum of its proper divisors (33395353808550).

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

20130300330330 is a wasteful number, since it uses less digits than its factorization.

20130300330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33765.

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 20130300330330 its reverse (3303300303102), we get a palindrome (23433600633432).

The spelling of 20130300330330 in words is "twenty trillion, one hundred thirty billion, three hundred million, three hundred thirty thousand, three hundred thirty".