133191 has 8 divisors (see below), whose sum is σ = 197360. Its totient is φ = 88776.

The previous prime is 133187. The next prime is 133201. The reversal of 133191 is 191331.

It is not a de Polignac number, because 133191 - 2² = 133187 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2440 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (24670).

2¹³³¹⁹¹ is an apocalyptic number.

133191 is a deficient number, since it is larger than the sum of its proper divisors (64169).

133191 is an equidigital number, since it uses as much as digits as its factorization.

133191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4936 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 133191 is about 364.9534216856. The cubic root of 133191 is about 51.0691104579.

It can be divided in two parts, 1331 and 91, that multiplied together give a palindrome (121121).

The spelling of 133191 in words is "one hundred thirty-three thousand, one hundred ninety-one".