213313205 has 16 divisors (see below), whose sum is σ = 292782720. Its totient is φ = 146152512.

The previous prime is 213313187. The next prime is 213313211. The reversal of 213313205 is 502313312.

It is a cyclic number.

It is not a de Polignac number, because 213313205 - 2⁶ = 213313141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74867 + ... + 77663.

It is an arithmetic number, because the mean of its divisors is an integer number (18298920).

Almost surely, 2^213313205 is an apocalyptic number.

It is an amenable number.

213313205 is a deficient number, since it is larger than the sum of its proper divisors (79469515).

213313205 is a wasteful number, since it uses less digits than its factorization.

213313205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 213313205 is about 14605.2458041623. The cubic root of 213313205 is about 597.5018399481.

Adding to 213313205 its reverse (502313312), we get a palindrome (715626517).

It can be divided in two parts, 2133 and 13205, that multiplied together give a triangular number (28166265 = T₇₅₀₅).

The spelling of 213313205 in words is "two hundred thirteen million, three hundred thirteen thousand, two hundred five".