131393 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 120640.

The previous prime is 131381. The next prime is 131413. The reversal of 131393 is 393131.

131393 is nontrivially palindromic in base 14.

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

It is a cyclic number.

It is not a de Polignac number, because 131393 - 2¹⁰ = 130369 is a prime.

It is a Duffinian number.

131393 is a modest number, since divided by 393 gives 131 as remainder.

It is not an unprimeable number, because it can be changed into a prime (131303) 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, 938 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2¹³¹³⁹³ is an apocalyptic number.

It is an amenable number.

131393 is a deficient number, since it is larger than the sum of its proper divisors (11167).

131393 is a wasteful number, since it uses less digits than its factorization.

131393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 243, while the sum is 20.

The square root of 131393 is about 362.4817236772. The cubic root of 131393 is about 50.8382676091.

The spelling of 131393 in words is "one hundred thirty-one thousand, three hundred ninety-three".