213312321 has 6 divisors (see below), whose sum is σ = 308117810. Its totient is φ = 142208208.

The previous prime is 213312283. The next prime is 213312361. The reversal of 213312321 is 123213312.

213312321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 171321921 + 41990400 = 13089^2 + 6480^2 .

It is not a de Polignac number, because 213312321 - 2¹⁴ = 213295937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213312294 and 213312303.

It is not an unprimeable number, because it can be changed into a prime (213312361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11850676 + ... + 11850693.

Almost surely, 2^213312321 is an apocalyptic number.

It is an amenable number.

213312321 is a deficient number, since it is larger than the sum of its proper divisors (94805489).

213312321 is a wasteful number, since it uses less digits than its factorization.

213312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23701375 (or 23701372 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 213312321 is about 14605.2155410319. The cubic root of 213312321 is about 597.5010145697.

Adding to 213312321 its reverse (123213312), we get a palindrome (336525633).

Subtracting from 213312321 its reverse (123213312), we obtain a palindrome (90099009).

The spelling of 213312321 in words is "two hundred thirteen million, three hundred twelve thousand, three hundred twenty-one".