321312132 has 36 divisors (see below), whose sum is σ = 825526156. Its totient is φ = 105347520.

The previous prime is 321312127. The next prime is 321312143. The reversal of 321312132 is 231213123.

321312132 is a `hidden beast` number, since 321 + 312 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161188416 + 160123716 = 12696^2 + 12654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70963 + ... + 75354.

Almost surely, 2^321312132 is an apocalyptic number.

It is an amenable number.

321312132 is an abundant number, since it is smaller than the sum of its proper divisors (504214024).

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

321312132 is a wasteful number, since it uses less digits than its factorization.

321312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146388 (or 146383 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 321312132 is about 17925.1815053572. The cubic root of 321312132 is about 684.9239846740.

Adding to 321312132 its reverse (231213123), we get a palindrome (552525255).

Subtracting from 321312132 its reverse (231213123), we obtain a palindrome (90099009).

The spelling of 321312132 in words is "three hundred twenty-one million, three hundred twelve thousand, one hundred thirty-two".