133131 has 8 divisors (see below), whose sum is σ = 179200. Its totient is φ = 87912.

The previous prime is 133121. The next prime is 133153. The reversal of 133131 is 131331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133131 - 2⁹ = 132619 is a prime.

It is a super-2 number, since 2×133131² = 35447726322, which contains 22 as substring.

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

It is a Duffinian number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2¹³³¹³¹ is an apocalyptic number.

133131 is a deficient number, since it is larger than the sum of its proper divisors (46069).

133131 is a wasteful number, since it uses less digits than its factorization.

133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its digits is 27, while the sum is 12.

The square root of 133131 is about 364.8712101550. The cubic root of 133131 is about 51.0614407533.

Adding to 133131 its reverse (131331), we get a palindrome (264462).

The spelling of 133131 in words is "one hundred thirty-three thousand, one hundred thirty-one".