20333121033330 has 256 divisors, whose sum is σ = 62107317596160. Its totient is φ = 4637100593664.

The previous prime is 20333121033289. The next prime is 20333121033373. The reversal of 20333121033330 is 3333012133302.

20333121033330 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 312 + 10 + 3 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20333121033294 and 20333121033303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3465673057 + ... + 3465678923.

It is an arithmetic number, because the mean of its divisors is an integer number (242606709360).

Almost surely, 2^{20333121033330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333121033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053658798080).

20333121033330 is an abundant number, since it is smaller than the sum of its proper divisors (41774196562830).

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

20333121033330 is a wasteful number, since it uses less digits than its factorization.

20333121033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 20333121033330 its reverse (3333012133302), we get a palindrome (23666133166632).

The spelling of 20333121033330 in words is "twenty trillion, three hundred thirty-three billion, one hundred twenty-one million, thirty-three thousand, three hundred thirty".