213132 has 12 divisors (see below), whose sum is σ = 497336. Its totient is φ = 71040.

The previous prime is 213131. The next prime is 213133. The reversal of 213132 is 231312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213131) and next prime (213133).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 17761 = 213132 / (2 + 1 + 3 + 1 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8869 + ... + 8892.

2²¹³¹³² is an apocalyptic number.

It is an amenable number.

213132 is an abundant number, since it is smaller than the sum of its proper divisors (284204).

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

213132 is a wasteful number, since it uses less digits than its factorization.

213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17766 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 213132 is about 461.6622141783. The cubic root of 213132 is about 59.7332603679.

Adding to 213132 its reverse (231312), we get a palindrome (444444).

The spelling of 213132 in words is "two hundred thirteen thousand, one hundred thirty-two".