30013330000 has 100 divisors (see below), whose sum is σ = 76940136900. Its totient is φ = 11299072000.

The previous prime is 30013329971. The next prime is 30013330001. The reversal of 30013330000 is 3331003.

It can be written as a sum of positive squares in 10 ways, for example, as 20094763536 + 9918566464 = 141756^2 + 99592^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013330001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 81726 + ... + 258274.

It is an arithmetic number, because the mean of its divisors is an integer number (769401369).

Almost surely, 2^30013330000 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 30013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38470068450).

30013330000 is an abundant number, since it is smaller than the sum of its proper divisors (46926806900).

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

30013330000 is a wasteful number, since it uses less digits than its factorization.

30013330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176594 (or 176573 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 30013330000 its reverse (3331003), we get a palindrome (30016661003).

The spelling of 30013330000 in words is "thirty billion, thirteen million, three hundred thirty thousand".