213320331 has 64 divisors (see below), whose sum is σ = 389283840. Its totient is φ = 112764960.

The previous prime is 213320323. The next prime is 213320333. The reversal of 213320331 is 133023312.

213320331 is a `hidden beast` number, since 2 + 1 + 332 + 0 + 331 = 666.

It is not a de Polignac number, because 213320331 - 2³ = 213320323 is a prime.

It is a super-2 number, since 2×213320331² = 91011127235899122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213320333) 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 63 ways as a sum of consecutive naturals, for example, 133966 + ... + 135548.

It is an arithmetic number, because the mean of its divisors is an integer number (6082560).

Almost surely, 2^213320331 is an apocalyptic number.

213320331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213320331 is a deficient number, since it is larger than the sum of its proper divisors (175963509).

213320331 is a wasteful number, since it uses less digits than its factorization.

213320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213320331 is about 14605.4897555679. The cubic root of 213320331 is about 597.5084933113.

Adding to 213320331 its reverse (133023312), we get a palindrome (346343643).

The spelling of 213320331 in words is "two hundred thirteen million, three hundred twenty thousand, three hundred thirty-one".