213303033 has 48 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 129427200.

The previous prime is 213303017. The next prime is 213303049. The reversal of 213303033 is 330303312.

It is an interprime number because it is at equal distance from previous prime (213303017) and next prime (213303049).

It is not a de Polignac number, because 213303033 - 2⁴ = 213303017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213302997 and 213303015.

It is not an unprimeable number, because it can be changed into a prime (213303073) 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, 331410 + ... + 332052.

It is an arithmetic number, because the mean of its divisors is an integer number (7032480).

Almost surely, 2^213303033 is an apocalyptic number.

It is an amenable number.

213303033 is a deficient number, since it is larger than the sum of its proper divisors (124256007).

213303033 is a wasteful number, since it uses less digits than its factorization.

213303033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 213303033 is about 14604.8975689664. The cubic root of 213303033 is about 597.4923423562.

Adding to 213303033 its reverse (330303312), we get a palindrome (543606345).

The spelling of 213303033 in words is "two hundred thirteen million, three hundred three thousand, thirty-three".