133331 has 16 divisors (see below), whose sum is σ = 165888. Its totient is φ = 105600.

The previous prime is 133327. The next prime is 133337.

133331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133331 - 2² = 133327 is a prime.

It is a super-2 number, since 2×133331² = 35554311122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133331.

It is not an unprimeable number, because it can be changed into a prime (133337) 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 15 ways as a sum of consecutive naturals, for example, 4286 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2¹³³³³¹ is an apocalyptic number.

133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133331 is a deficient number, since it is larger than the sum of its proper divisors (32557).

133331 is a wasteful number, since it uses less digits than its factorization.

133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 81, while the sum is 14.

The square root of 133331 is about 365.1451766079. The cubic root of 133331 is about 51.0869974819.

It can be divided in two parts, 133 and 331, that added together give a palindrome (464).

The spelling of 133331 in words is "one hundred thirty-three thousand, three hundred thirty-one".