30020002013320 has 256 divisors, whose sum is σ = 79546613760000. Its totient is φ = 10082356838400.

The previous prime is 30020002013249. The next prime is 30020002013329. The reversal of 30020002013320 is 2331020002003.

It is a junction number, because it is equal to n+sod(n) for n = 30020002013294 and 30020002013303.

It is not an unprimeable number, because it can be changed into a prime (30020002013329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140753721 + ... + 140966839.

It is an arithmetic number, because the mean of its divisors is an integer number (310728960000).

Almost surely, 2^{30020002013320} 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 30020002013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39773306880000).

30020002013320 is an abundant number, since it is smaller than the sum of its proper divisors (49526611746680).

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

30020002013320 is a wasteful number, since it uses less digits than its factorization.

30020002013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213644 (or 213640 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30020002013320 its reverse (2331020002003), we get a palindrome (32351022015323).

The spelling of 30020002013320 in words is "thirty trillion, twenty billion, two million, thirteen thousand, three hundred twenty".