213331003002033 has 48 divisors (see below), whose sum is σ = 331865612769600. Its totient is φ = 121540659698304.

The previous prime is 213331003001971. The next prime is 213331003002077. The reversal of 213331003002033 is 330200300133312.

213331003002033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213331003002033 - 2¹⁴ = 213331002985649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213331003001994 and 213331003002012.

It is not an unprimeable number, because it can be changed into a prime (213331003003033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471915591 + ... + 472367427.

It is an arithmetic number, because the mean of its divisors is an integer number (6913866932700).

Almost surely, 2^{213331003002033} is an apocalyptic number.

It is an amenable number.

213331003002033 is a deficient number, since it is larger than the sum of its proper divisors (118534609767567).

213331003002033 is a wasteful number, since it uses less digits than its factorization.

213331003002033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461406 (or 461399 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 213331003002033 its reverse (330200300133312), we get a palindrome (543531303135345).

The spelling of 213331003002033 in words is "two hundred thirteen trillion, three hundred thirty-one billion, three million, two thousand, thirty-three".