133913 has 4 divisors (see below), whose sum is σ = 144228. Its totient is φ = 123600.

The previous prime is 133877. The next prime is 133919. The reversal of 133913 is 319331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 319331 = 31 ⋅10301.

It can be written as a sum of positive squares in 2 ways, for example, as 80089 + 53824 = 283^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 133913 - 2⁸ = 133657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133919) 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, 5138 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (36057).

2¹³³⁹¹³ is an apocalyptic number.

133913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133913 is a deficient number, since it is larger than the sum of its proper divisors (10315).

133913 is a wasteful number, since it uses less digits than its factorization.

133913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314.

The product of its digits is 243, while the sum is 20.

The square root of 133913 is about 365.9412521157. The cubic root of 133913 is about 51.1612224694.

The spelling of 133913 in words is "one hundred thirty-three thousand, nine hundred thirteen".