21331003303233 has 60 divisors (see below), whose sum is σ = 34509295539180. Its totient is φ = 13124955377664.

The previous prime is 21331003303187. The next prime is 21331003303243. The reversal of 21331003303233 is 33230330013312.

21331003303233 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 0 + 0 + 330 + 323 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10226033565489 + 11104969737744 = 3197817^2 + 3332412^2 .

It is not a de Polignac number, because 21331003303233 - 2⁸ = 21331003302977 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 = 21331003303197 and 21331003303206.

It is not an unprimeable number, because it can be changed into a prime (21331003303243) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 102412885 + ... + 102620957.

It is an arithmetic number, because the mean of its divisors is an integer number (575154925653).

Almost surely, 2^{21331003303233} is an apocalyptic number.

It is an amenable number.

21331003303233 is a deficient number, since it is larger than the sum of its proper divisors (13178292235947).

21331003303233 is a wasteful number, since it uses less digits than its factorization.

21331003303233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215600 (or 215578 counting only the distinct ones).

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

Adding to 21331003303233 its reverse (33230330013312), we get a palindrome (54561333316545).

The spelling of 21331003303233 in words is "twenty-one trillion, three hundred thirty-one billion, three million, three hundred three thousand, two hundred thirty-three".