213120321 has 24 divisors (see below), whose sum is σ = 301349664. Its totient is φ = 133954560.

The previous prime is 213120307. The next prime is 213120371. The reversal of 213120321 is 123021312.

It is not a de Polignac number, because 213120321 - 2²² = 208926017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213120321.

It is not an unprimeable number, because it can be changed into a prime (213120371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332161 + ... + 332801.

It is an arithmetic number, because the mean of its divisors is an integer number (12556236).

Almost surely, 2^213120321 is an apocalyptic number.

It is an amenable number.

213120321 is a deficient number, since it is larger than the sum of its proper divisors (88229343).

213120321 is a wasteful number, since it uses less digits than its factorization.

213120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 970 counting only the distinct ones).

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

The square root of 213120321 is about 14598.6410668939. The cubic root of 213120321 is about 597.3216927957.

Adding to 213120321 its reverse (123021312), we get a palindrome (336141633).

Subtracting from 213120321 its reverse (123021312), we obtain a palindrome (90099009).

The spelling of 213120321 in words is "two hundred thirteen million, one hundred twenty thousand, three hundred twenty-one".