133313 has 4 divisors (see below), whose sum is σ = 137940. Its totient is φ = 128688.

The previous prime is 133303. The next prime is 133319. The reversal of 133313 is 313331.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 97969 = 188^2 + 313^2 .

It is a cyclic number.

It is not a de Polignac number, because 133313 - 2¹⁴ = 116929 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (133319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2270 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (34485).

2¹³³³¹³ is an apocalyptic number.

It is an amenable number.

133313 is a deficient number, since it is larger than the sum of its proper divisors (4627).

133313 is an equidigital number, since it uses as much as digits as its factorization.

133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626.

The product of its digits is 81, while the sum is 14.

The square root of 133313 is about 365.1205280452. The cubic root of 133313 is about 51.0846984234.

Adding to 133313 its reverse (313331), we get a palindrome (446644).

It can be divided in two parts, 13331 and 3, that multiplied together give a palindrome (39993).

The spelling of 133313 in words is "one hundred thirty-three thousand, three hundred thirteen".