102813 has 8 divisors (see below), whose sum is σ = 140448. Its totient is φ = 66864.

The previous prime is 102811. The next prime is 102829. The reversal of 102813 is 318201.

It is a happy number.

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

It is not a de Polignac number, because 102813 - 2¹ = 102811 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102792 and 102801.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102813.

It is not an unprimeable number, because it can be changed into a prime (102811) 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, 270 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2¹⁰²⁸¹³ is an apocalyptic number.

It is an amenable number.

102813 is a deficient number, since it is larger than the sum of its proper divisors (37635).

102813 is an equidigital number, since it uses as much as digits as its factorization.

102813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102813 is about 320.6446631397. The cubic root of 102813 is about 46.8470962817.

The spelling of 102813 in words is "one hundred two thousand, eight hundred thirteen".