213120332321 has 8 divisors (see below), whose sum is σ = 229767264384. Its totient is φ = 196509551760.

The previous prime is 213120332309. The next prime is 213120332351. The reversal of 213120332321 is 123233021312.

213120332321 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 a cyclic number.

It is not a de Polignac number, because 213120332321 - 2³⁴ = 195940463137 is a prime.

It is a super-2 number, since 2×213120332321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213120332351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9025625 + ... + 9049206.

It is an arithmetic number, because the mean of its divisors is an integer number (28720908048).

Almost surely, 2^213120332321 is an apocalyptic number.

It is an amenable number.

213120332321 is a deficient number, since it is larger than the sum of its proper divisors (16646932063).

213120332321 is a wasteful number, since it uses less digits than its factorization.

213120332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18075751.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 213120332321 its reverse (123233021312), we get a palindrome (336353353633).

The spelling of 213120332321 in words is "two hundred thirteen billion, one hundred twenty million, three hundred thirty-two thousand, three hundred twenty-one".