213033033 has 6 divisors (see below), whose sum is σ = 307714394. Its totient is φ = 142022016.

The previous prime is 213033019. The next prime is 213033047. The reversal of 213033033 is 330330312.

It is an interprime number because it is at equal distance from previous prime (213033019) and next prime (213033047).

It can be written as a sum of positive squares in only one way, i.e., 210047049 + 2985984 = 14493^2 + 1728^2 .

It is not a de Polignac number, because 213033033 - 2⁴ = 213033017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213032997 and 213033015.

It is not an unprimeable number, because it can be changed into a prime (213053033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11835160 + ... + 11835177.

Almost surely, 2^213033033 is an apocalyptic number.

It is an amenable number.

213033033 is a deficient number, since it is larger than the sum of its proper divisors (94681361).

213033033 is a wasteful number, since it uses less digits than its factorization.

213033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670343 (or 23670340 counting only the distinct ones).

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

The square root of 213033033 is about 14595.6511673854. The cubic root of 213033033 is about 597.2401330215.

Adding to 213033033 its reverse (330330312), we get a palindrome (543363345).

It can be divided in two parts, 21303 and 3033, that added together give a square (24336 = 156²).

The spelling of 213033033 in words is "two hundred thirteen million, thirty-three thousand, thirty-three".