213410033 has 16 divisors (see below), whose sum is σ = 230411520. Its totient is φ = 197024256.

The previous prime is 213410011. The next prime is 213410069. The reversal of 213410033 is 330014312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 213410033 - 2²² = 209215729 is a prime.

It is a super-2 number, since 2×213410033² = 91087684370122178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213409993 and 213410020.

It is not an unprimeable number, because it can be changed into a prime (213410083) 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 15 ways as a sum of consecutive naturals, for example, 314891 + ... + 315567.

It is an arithmetic number, because the mean of its divisors is an integer number (14400720).

Almost surely, 2^213410033 is an apocalyptic number.

It is an amenable number.

213410033 is a deficient number, since it is larger than the sum of its proper divisors (17001487).

213410033 is a wasteful number, since it uses less digits than its factorization.

213410033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213410033 is about 14608.5602644477. The cubic root of 213410033 is about 597.5922330963.

Adding to 213410033 its reverse (330014312), we get a palindrome (543424345).

It can be divided in two parts, 2134 and 10033, that added together give a cube (12167 = 23³).

The spelling of 213410033 in words is "two hundred thirteen million, four hundred ten thousand, thirty-three".