213313329 has 6 divisors (see below), whose sum is σ = 308119266. Its totient is φ = 142208880.

The previous prime is 213313301. The next prime is 213313343. The reversal of 213313329 is 923313312.

213313329 is a `hidden beast` number, since 2 + 1 + 331 + 3 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154330929 + 58982400 = 12423^2 + 7680^2 .

It is not a de Polignac number, because 213313329 - 2⁸ = 213313073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213313369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11850732 + ... + 11850749.

It is an arithmetic number, because the mean of its divisors is an integer number (51353211).

Almost surely, 2^213313329 is an apocalyptic number.

It is an amenable number.

213313329 is a deficient number, since it is larger than the sum of its proper divisors (94805937).

213313329 is a wasteful number, since it uses less digits than its factorization.

213313329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23701487 (or 23701484 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 213313329 is about 14605.2500492118. The cubic root of 213313329 is about 597.5019557250.

The spelling of 213313329 in words is "two hundred thirteen million, three hundred thirteen thousand, three hundred twenty-nine".