193113 has 12 divisors (see below), whose sum is σ = 286000. Its totient is φ = 125496.

The previous prime is 193093. The next prime is 193133. The reversal of 193113 is 311391.

It is an interprime number because it is at equal distance from previous prime (193093) and next prime (193133).

It is not a de Polignac number, because 193113 - 2⁹ = 192601 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (193133) 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, 138 + ... + 636.

2¹⁹³¹¹³ is an apocalyptic number.

It is an amenable number.

193113 is a deficient number, since it is larger than the sum of its proper divisors (92887).

193113 is a wasteful number, since it uses less digits than its factorization.

193113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

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

The square root of 193113 is about 439.4462424461. The cubic root of 193113 is about 57.8012419763.

Adding to 193113 its sum of digits (18), we get a triangular number (193131 = T₆₂₁).

The spelling of 193113 in words is "one hundred ninety-three thousand, one hundred thirteen".