102313 has 4 divisors (see below), whose sum is σ = 103428. Its totient is φ = 101200.

The previous prime is 102301. The next prime is 102317. The reversal of 102313 is 313201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 59049 = 208^2 + 243^2 .

It is a cyclic number.

It is not a de Polignac number, because 102313 - 2¹³ = 94121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102313.

It is not an unprimeable number, because it can be changed into a prime (102317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 406 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (25857).

2¹⁰²³¹³ is an apocalyptic number.

It is an amenable number.

102313 is a deficient number, since it is larger than the sum of its proper divisors (1115).

102313 is a wasteful number, since it uses less digits than its factorization.

102313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102313 is about 319.8640336143. The cubic root of 102313 is about 46.7710306020.

Adding to 102313 its reverse (313201), we get a palindrome (415514).

The spelling of 102313 in words is "one hundred two thousand, three hundred thirteen".