132313 has 2 divisors, whose sum is σ = 132314. Its totient is φ = 132312.

The previous prime is 132299. The next prime is 132329. The reversal of 132313 is 313231.

It is the 149-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 34969 = 312^2 + 187^2 .

It is a cyclic number.

It is not a de Polignac number, because 132313 - 2¹³ = 124121 is a prime.

It is equal to p₁₂₃₅₂ and since 132313 and 12352 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 132293 and 132302.

It is not a weakly prime, because it can be changed into another prime (132383) 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 as a sum of consecutive naturals, namely, 66156 + 66157.

It is an arithmetic number, because the mean of its divisors is an integer number (66157).

2¹³²³¹³ is an apocalyptic number.

It is an amenable number.

132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132313 is an equidigital number, since it uses as much as digits as its factorization.

132313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 132313 is about 363.7485395160. The cubic root of 132313 is about 50.9566464839.

Adding to 132313 its reverse (313231), we get a palindrome (445544).

It can be divided in two parts, 13231 and 3, that multiplied together give a palindrome (39693).

The spelling of 132313 in words is "one hundred thirty-two thousand, three hundred thirteen".