133013 has 2 divisors, whose sum is σ = 133014. Its totient is φ = 133012.

The previous prime is 132989. The next prime is 133033. The reversal of 133013 is 310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114244 + 18769 = 338^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 133013 - 2⁶ = 132949 is a prime.

It is a Sophie Germain prime.

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 = 132985 and 133003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66506 + 66507.

It is an arithmetic number, because the mean of its divisors is an integer number (66507).

2¹³³⁰¹³ is an apocalyptic number.

It is an amenable number.

133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013 is an equidigital number, since it uses as much as digits as its factorization.

133013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 133013 is about 364.7094734169. The cubic root of 133013 is about 51.0463502759.

Adding to 133013 its reverse (310331), we get a palindrome (443344).

It can be divided in two parts, 13301 and 3, that multiplied together give a triangular number (39903 = T₂₈₂).

The spelling of 133013 in words is "one hundred thirty-three thousand, thirteen".