132313320 has 96 divisors (see below), whose sum is σ = 432942120. Its totient is φ = 35043840.

The previous prime is 132313289. The next prime is 132313339. The reversal of 132313320 is 23313231.

132313320 is a `hidden beast` number, since 1 + 32 + 313 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102697956 + 29615364 = 10134^2 + 5442^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132313293 and 132313302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55350 + ... + 57690.

Almost surely, 2^132313320 is an apocalyptic number.

132313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216471060).

132313320 is an abundant number, since it is smaller than the sum of its proper divisors (300628800).

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

132313320 is a wasteful number, since it uses less digits than its factorization.

132313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

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

The square root of 132313320 is about 11502.7527140246. The cubic root of 132313320 is about 509.5668756354.

Adding to 132313320 its reverse (23313231), we get a palindrome (155626551).

The spelling of 132313320 in words is "one hundred thirty-two million, three hundred thirteen thousand, three hundred twenty".