213322321 has 8 divisors (see below), whose sum is σ = 215700840. Its totient is φ = 210957312.

The previous prime is 213322313. The next prime is 213322339. The reversal of 213322321 is 123223312.

It can be written as a sum of positive squares in 4 ways, for example, as 3651921 + 209670400 = 1911^2 + 14480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213322321 - 2³ = 213322313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213322391) 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 7 ways as a sum of consecutive naturals, for example, 30195 + ... + 36583.

It is an arithmetic number, because the mean of its divisors is an integer number (26962605).

Almost surely, 2^213322321 is an apocalyptic number.

It is an amenable number.

213322321 is a deficient number, since it is larger than the sum of its proper divisors (2378519).

213322321 is a wasteful number, since it uses less digits than its factorization.

213322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755.

The product of its digits is 432, while the sum is 19.

The square root of 213322321 is about 14605.5578804782. The cubic root of 213322321 is about 597.5103512968.

Adding to 213322321 its reverse (123223312), we get a palindrome (336545633).

Subtracting from 213322321 its reverse (123223312), we obtain a palindrome (90099009).

It can be divided in two parts, 21332 and 2321, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 213322321 in words is "two hundred thirteen million, three hundred twenty-two thousand, three hundred twenty-one".