20133203313033 has 48 divisors (see below), whose sum is σ = 30335825520000. Its totient is φ = 13343271492096.

The previous prime is 20133203313023. The next prime is 20133203313149. The reversal of 20133203313033 is 33031330233102.

20133203313033 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 20 + 331 + 303 + 3 = 666.

It is not a de Polignac number, because 20133203313033 - 2⁴ = 20133203313017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 20133203312988 and 20133203313006.

It is not an unprimeable number, because it can be changed into a prime (20133203313023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59622516 + ... + 59959242.

It is an arithmetic number, because the mean of its divisors is an integer number (631996365000).

Almost surely, 2^{20133203313033} is an apocalyptic number.

It is an amenable number.

20133203313033 is a deficient number, since it is larger than the sum of its proper divisors (10202622206967).

20133203313033 is a wasteful number, since it uses less digits than its factorization.

20133203313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338188 (or 338176 counting only the distinct ones).

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

Adding to 20133203313033 its reverse (33031330233102), we get a palindrome (53164533546135).

The spelling of 20133203313033 in words is "twenty trillion, one hundred thirty-three billion, two hundred three million, three hundred thirteen thousand, thirty-three".