213312033 has 12 divisors (see below), whose sum is σ = 336128208. Its totient is φ = 129279960.

The previous prime is 213312017. The next prime is 213312037. The reversal of 213312033 is 330213312.

It is not a de Polignac number, because 213312033 - 2⁴ = 213312017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213311997 and 213312015.

It is not an unprimeable number, because it can be changed into a prime (213312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077235 + ... + 1077432.

It is an arithmetic number, because the mean of its divisors is an integer number (28010684).

Almost surely, 2^213312033 is an apocalyptic number.

It is an amenable number.

213312033 is a deficient number, since it is larger than the sum of its proper divisors (122816175).

213312033 is a wasteful number, since it uses less digits than its factorization.

213312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154684 (or 2154681 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213312033 is about 14605.2056815370. The cubic root of 213312033 is about 597.5007456676.

Adding to 213312033 its reverse (330213312), we get a palindrome (543525345).

The spelling of 213312033 in words is "two hundred thirteen million, three hundred twelve thousand, thirty-three".