19113 has 8 divisors (see below), whose sum is σ = 26688. Its totient is φ = 12144.

The previous prime is 19087. The next prime is 19121. The reversal of 19113 is 31191.

19113 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 19113 - 2⁵ = 19081 is a prime.

19113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 19092 and 19101.

It is not an unprimeable number, because it can be changed into a prime (19163) 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 7 ways as a sum of consecutive naturals, for example, 70 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (3336).

2¹⁹¹¹³ is an apocalyptic number.

It is an amenable number.

19113 is a deficient number, since it is larger than the sum of its proper divisors (7575).

19113 is a wasteful number, since it uses less digits than its factorization.

19113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 27, while the sum is 15.

The square root of 19113 is about 138.2497739600. The cubic root of 19113 is about 26.7368118530.

The spelling of 19113 in words is "nineteen thousand, one hundred thirteen".