131337 has 6 divisors (see below), whose sum is σ = 189722. Its totient is φ = 87552.

The previous prime is 131321. The next prime is 131357. The reversal of 131337 is 733131.

131337 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 46656 = 291^2 + 216^2 .

It is not a de Polignac number, because 131337 - 2⁴ = 131321 is a prime.

It is a Duffinian number.

131337 is strictly pandigital in base 7.

131337 is a lucky 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 131337.

It is not an unprimeable number, because it can be changed into a prime (131317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7288 + ... + 7305.

2¹³¹³³⁷ is an apocalyptic number.

It is an amenable number.

131337 is a deficient number, since it is larger than the sum of its proper divisors (58385).

131337 is a wasteful number, since it uses less digits than its factorization.

131337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14596 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 131337 is about 362.4044701711. The cubic root of 131337 is about 50.8310441204.

Adding to 131337 its reverse (733131), we get a palindrome (864468).

The spelling of 131337 in words is "one hundred thirty-one thousand, three hundred thirty-seven".