213201321 has 8 divisors (see below), whose sum is σ = 286438944. Its totient is φ = 141048960.

The previous prime is 213201293. The next prime is 213201341. The reversal of 213201321 is 123102312.

213201321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 213201321 - 2⁷ = 213201193 is a prime.

It is a super-2 number, since 2×213201321² = 90909606552290082, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213201321.

It is not an unprimeable number, because it can be changed into a prime (213201341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270856 + ... + 271641.

It is an arithmetic number, because the mean of its divisors is an integer number (35804868).

Almost surely, 2^213201321 is an apocalyptic number.

It is an amenable number.

213201321 is a deficient number, since it is larger than the sum of its proper divisors (73237623).

213201321 is a wasteful number, since it uses less digits than its factorization.

213201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542631.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213201321 is about 14601.4150341671. The cubic root of 213201321 is about 597.3973572976.

Adding to 213201321 its reverse (123102312), we get a palindrome (336303633).

Subtracting from 213201321 its reverse (123102312), we obtain a palindrome (90099009).

The spelling of 213201321 in words is "two hundred thirteen million, two hundred one thousand, three hundred twenty-one".