132713 has 4 divisors (see below), whose sum is σ = 151680. Its totient is φ = 113748.

The previous prime is 132709. The next prime is 132721. The reversal of 132713 is 317231.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 317231 = 29 ⋅10939.

It is a cyclic number.

It is not a de Polignac number, because 132713 - 2² = 132709 is a prime.

It is a super-2 number, since 2×132713² = 35225480738, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132691 and 132700.

It is not an unprimeable number, because it can be changed into a prime (132763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9473 + ... + 9486.

It is an arithmetic number, because the mean of its divisors is an integer number (37920).

2¹³²⁷¹³ is an apocalyptic number.

It is an amenable number.

132713 is a deficient number, since it is larger than the sum of its proper divisors (18967).

132713 is an equidigital number, since it uses as much as digits as its factorization.

132713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18966.

The product of its digits is 126, while the sum is 17.

The square root of 132713 is about 364.2979549764. The cubic root of 132713 is about 51.0079444243.

Adding to 132713 its reverse (317231), we get a palindrome (449944).

The spelling of 132713 in words is "one hundred thirty-two thousand, seven hundred thirteen".