213314205 has 32 divisors (see below), whose sum is σ = 373806720. Its totient is φ = 103230720.

The previous prime is 213314203. The next prime is 213314207. The reversal of 213314205 is 502413312.

213314205 = 350² + 351² + ... + 880².

It is an interprime number because it is at equal distance from previous prime (213314203) and next prime (213314207).

It is not a de Polignac number, because 213314205 - 2¹ = 213314203 is a prime.

It is a super-3 number, since 3×213314205³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2235 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (11681460).

Almost surely, 2^213314205 is an apocalyptic number.

It is an amenable number.

213314205 is a deficient number, since it is larger than the sum of its proper divisors (160492515).

213314205 is a wasteful number, since it uses less digits than its factorization.

213314205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213314205 is about 14605.2800383971. The cubic root of 213314205 is about 597.5027736314.

Adding to 213314205 its reverse (502413312), we get a palindrome (715727517).

The spelling of 213314205 in words is "two hundred thirteen million, three hundred fourteen thousand, two hundred five".