101813 has 8 divisors (see below), whose sum is σ = 110808. Its totient is φ = 93184.

The previous prime is 101807. The next prime is 101833. The reversal of 101813 is 318101.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 91204 = 103^2 + 302^2 .

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 101813 - 2⁴ = 101797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101833) 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, 845 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (13851).

2¹⁰¹⁸¹³ is an apocalyptic number.

It is an amenable number.

101813 is a deficient number, since it is larger than the sum of its proper divisors (8995).

101813 is a wasteful number, since it uses less digits than its factorization.

101813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101813 is about 319.0814942926. The cubic root of 101813 is about 46.6947166966.

Adding to 101813 its reverse (318101), we get a palindrome (419914).

The spelling of 101813 in words is "one hundred one thousand, eight hundred thirteen".