30133320320 has 128 divisors (see below), whose sum is σ = 72933814800. Its totient is φ = 11904122880.

The previous prime is 30133320253. The next prime is 30133320341. The reversal of 30133320320 is 2302333103.

It can be written as a sum of positive squares in 8 ways, for example, as 5629801024 + 24503519296 = 75032^2 + 156536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30133320292 and 30133320301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32158892 + ... + 32159828.

Almost surely, 2^30133320320 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 30133320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36466907400).

30133320320 is an abundant number, since it is smaller than the sum of its proper divisors (42800494480).

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

30133320320 is a wasteful number, since it uses less digits than its factorization.

30133320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 30133320320 its reverse (2302333103), we get a palindrome (32435653423).

The spelling of 30133320320 in words is "thirty billion, one hundred thirty-three million, three hundred twenty thousand, three hundred twenty".