133613 has 4 divisors (see below), whose sum is σ = 136188. Its totient is φ = 131040.

The previous prime is 133597. The next prime is 133631. The reversal of 133613 is 316331.

133613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 316331 = 19 ⋅16649.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 100489 = 182^2 + 317^2 .

It is a cyclic number.

It is not a de Polignac number, because 133613 - 2⁴ = 133597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 133591 and 133600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133633) 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, 1208 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (34047).

2¹³³⁶¹³ is an apocalyptic number.

It is an amenable number.

133613 is a deficient number, since it is larger than the sum of its proper divisors (2575).

133613 is an equidigital number, since it uses as much as digits as its factorization.

133613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574.

The product of its digits is 162, while the sum is 17.

The square root of 133613 is about 365.5311204262. The cubic root of 133613 is about 51.1229890829.

Adding to 133613 its reverse (316331), we get a palindrome (449944).

The spelling of 133613 in words is "one hundred thirty-three thousand, six hundred thirteen".