20330031020033 has 24 divisors (see below), whose sum is σ = 24694096971264. Its totient is φ = 16392287808000.

The previous prime is 20330031020023. The next prime is 20330031020081. The reversal of 20330031020033 is 33002013003302.

It is not a de Polignac number, because 20330031020033 - 2¹⁰ = 20330031019009 is a prime.

It is a super-3 number, since 3×20330031020033³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20330031019987 and 20330031020014.

It is not an unprimeable number, because it can be changed into a prime (20330031020023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371413 + ... + 6522333.

It is an arithmetic number, because the mean of its divisors is an integer number (1028920707136).

Almost surely, 2^{20330031020033} is an apocalyptic number.

It is an amenable number.

20330031020033 is a deficient number, since it is larger than the sum of its proper divisors (4364065951231).

20330031020033 is a wasteful number, since it uses less digits than its factorization.

20330031020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152913 (or 5152896 counting only the distinct ones).

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

Adding to 20330031020033 its reverse (33002013003302), we get a palindrome (53332044023335).

The spelling of 20330031020033 in words is "twenty trillion, three hundred thirty billion, thirty-one million, twenty thousand, thirty-three".