103813 has 2 divisors, whose sum is σ = 103814. Its totient is φ = 103812.

The previous prime is 103811. The next prime is 103837. The reversal of 103813 is 318301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 37249 = 258^2 + 193^2 .

It is an emirp because it is prime and its reverse (318301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103813 - 2¹ = 103811 is a prime.

Together with 103811, it forms a pair of twin primes.

103813 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51906 + 51907.

It is an arithmetic number, because the mean of its divisors is an integer number (51907).

2¹⁰³⁸¹³ is an apocalyptic number.

It is an amenable number.

103813 is a deficient number, since it is larger than the sum of its proper divisors (1).

103813 is an equidigital number, since it uses as much as digits as its factorization.

103813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103813 is about 322.2002482929. The cubic root of 103813 is about 46.9984909731.

The spelling of 103813 in words is "one hundred three thousand, eight hundred thirteen".