30333013120 has 64 divisors (see below), whose sum is σ = 72581945400. Its totient is φ = 12121980928.

The previous prime is 30333013097. The next prime is 30333013141. The reversal of 30333013120 is 2131033303.

It can be written as a sum of positive squares in 4 ways, for example, as 18511235136 + 11821777984 = 136056^2 + 108728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688392 + ... + 731128.

Almost surely, 2^30333013120 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 30333013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36290972700).

30333013120 is an abundant number, since it is smaller than the sum of its proper divisors (42248932280).

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

30333013120 is a wasteful number, since it uses less digits than its factorization.

30333013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43865 (or 43853 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 30333013120 its reverse (2131033303), we get a palindrome (32464046423).

The spelling of 30333013120 in words is "thirty billion, three hundred thirty-three million, thirteen thousand, one hundred twenty".