20131330332033 has 24 divisors (see below), whose sum is σ = 29148640964352. Its totient is φ = 13388577297408.

The previous prime is 20131330331993. The next prime is 20131330332049. The reversal of 20131330332033 is 33023303313102.

20131330332033 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 3 + 303 + 320 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-20131330332033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20131330331988 and 20131330332006.

It is not an unprimeable number, because it can be changed into a prime (20131330312033) 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 23 ways as a sum of consecutive naturals, for example, 9854785 + ... + 11720897.

It is an arithmetic number, because the mean of its divisors is an integer number (1214526706848).

Almost surely, 2^{20131330332033} is an apocalyptic number.

It is an amenable number.

20131330332033 is a deficient number, since it is larger than the sum of its proper divisors (9017310632319).

20131330332033 is a wasteful number, since it uses less digits than its factorization.

20131330332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869005 (or 1869002 counting only the distinct ones).

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

Adding to 20131330332033 its reverse (33023303313102), we get a palindrome (53154633645135).

The spelling of 20131330332033 in words is "twenty trillion, one hundred thirty-one billion, three hundred thirty million, three hundred thirty-two thousand, thirty-three".