191313 has 12 divisors (see below), whose sum is σ = 286260. Its totient is φ = 122976.

The previous prime is 191299. The next prime is 191339. The reversal of 191313 is 313191.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 36864 = 393^2 + 192^2 .

It is not a de Polignac number, because 191313 - 2⁴ = 191297 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (23855).

2¹⁹¹³¹³ is an apocalyptic number.

It is an amenable number.

191313 is a deficient number, since it is larger than the sum of its proper divisors (94947).

191313 is a wasteful number, since it uses less digits than its factorization.

191313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

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

The square root of 191313 is about 437.3934155883. The cubic root of 191313 is about 57.6210932585.

The spelling of 191313 in words is "one hundred ninety-one thousand, three hundred thirteen".