20133300330 has 256 divisors, whose sum is σ = 63351590400. Its totient is φ = 4485611520.

The previous prime is 20133300301. The next prime is 20133300359. The reversal of 20133300330 is 3300333102.

20133300330 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 330 + 0 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (20133300301) and next prime (20133300359).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9921756 + ... + 9923784.

It is an arithmetic number, because the mean of its divisors is an integer number (247467150).

Almost surely, 2^20133300330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31675795200).

20133300330 is an abundant number, since it is smaller than the sum of its proper divisors (43218290070).

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

20133300330 is a wasteful number, since it uses less digits than its factorization.

20133300330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20133300330 its reverse (3300333102), we get a palindrome (23433633432).

The spelling of 20133300330 in words is "twenty billion, one hundred thirty-three million, three hundred thousand, three hundred thirty".