200313 has 10 divisors (see below), whose sum is σ = 299354. Its totient is φ = 133488.

The previous prime is 200297. The next prime is 200323. The reversal of 200313 is 313002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 13689 = 432^2 + 117^2 .

It is not a de Polignac number, because 200313 - 2⁴ = 200297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200295 and 200304.

It is not an unprimeable number, because it can be changed into a prime (200323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1156 + ... + 1317.

2²⁰⁰³¹³ is an apocalyptic number.

It is an amenable number.

200313 is a deficient number, since it is larger than the sum of its proper divisors (99041).

200313 is an equidigital number, since it uses as much as digits as its factorization.

200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 200313 is about 447.5634033296. The cubic root of 200313 is about 58.5108461152.

Adding to 200313 its reverse (313002), we get a palindrome (513315).

It can be divided in two parts, 2003 and 13, that added together give a triangular number (2016 = T₆₃).

The spelling of 200313 in words is "two hundred thousand, three hundred thirteen".