320133213 has 24 divisors (see below), whose sum is σ = 477743448. Its totient is φ = 206416512.

The previous prime is 320133173. The next prime is 320133217. The reversal of 320133213 is 312331023.

320133213 is a `hidden beast` number, since 320 + 1 + 332 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262342809 + 57790404 = 16197^2 + 7602^2 .

It is not a de Polignac number, because 320133213 - 2¹³ = 320125021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320133217) 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, 54831 + ... + 60387.

It is an arithmetic number, because the mean of its divisors is an integer number (19905977).

Almost surely, 2^320133213 is an apocalyptic number.

It is an amenable number.

320133213 is a deficient number, since it is larger than the sum of its proper divisors (157610235).

320133213 is a wasteful number, since it uses less digits than its factorization.

320133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5770 counting only the distinct ones).

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

The square root of 320133213 is about 17892.2668491167. The cubic root of 320133213 is about 684.0852784307.

Adding to 320133213 its reverse (312331023), we get a palindrome (632464236).

The spelling of 320133213 in words is "three hundred twenty million, one hundred thirty-three thousand, two hundred thirteen".