213132330 has 64 divisors (see below), whose sum is σ = 571380480. Its totient is φ = 56532672.

The previous prime is 213132301. The next prime is 213132331. The reversal of 213132330 is 33231312.

213132330 is a `hidden beast` number, since 21 + 313 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51187 + ... + 55193.

It is an arithmetic number, because the mean of its divisors is an integer number (8927820).

Almost surely, 2^213132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285690240).

213132330 is an abundant number, since it is smaller than the sum of its proper divisors (358248150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213132330 is a wasteful number, since it uses less digits than its factorization.

213132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4214 counting only the distinct ones).

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

The square root of 213132330 is about 14599.0523665065. The cubic root of 213132330 is about 597.3329119690.

Adding to 213132330 its reverse (33231312), we get a palindrome (246363642).

The spelling of 213132330 in words is "two hundred thirteen million, one hundred thirty-two thousand, three hundred thirty".