133271 has 2 divisors, whose sum is σ = 133272. Its totient is φ = 133270.

The previous prime is 133261. The next prime is 133277. The reversal of 133271 is 172331.

It is a strong prime.

It is an emirp because it is prime and its reverse (172331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133271 - 2¹⁰ = 132247 is a prime.

It is a super-2 number, since 2×133271² = 35522318882, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 3 + 2¹⁷ + 3⁷ + 7 + 1 .

It is equal to p₁₂₄₃₇ and since 133271 and 12437 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133277) 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, 66635 + 66636.

It is an arithmetic number, because the mean of its divisors is an integer number (66636).

2¹³³²⁷¹ is an apocalyptic number.

133271 is a deficient number, since it is larger than the sum of its proper divisors (1).

133271 is an equidigital number, since it uses as much as digits as its factorization.

133271 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 133271 is about 365.0630082602. The cubic root of 133271 is about 51.0793331484.

Subtracting 133271 from its reverse (172331), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 133 and 271, that added together give a palindrome (404).

The spelling of 133271 in words is "one hundred thirty-three thousand, two hundred seventy-one".