200313313 has 2 divisors, whose sum is σ = 200313314. Its totient is φ = 200313312.

The previous prime is 200313287. The next prime is 200313361. The reversal of 200313313 is 313313002.

200313313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176810209 + 23503104 = 13297^2 + 4848^2 .

It is a cyclic number.

It is not a de Polignac number, because 200313313 - 2²⁵ = 166758881 is a prime.

It is a super-3 number, since 3×200313313³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (200313383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100156656 + 100156657.

It is an arithmetic number, because the mean of its divisors is an integer number (100156657).

Almost surely, 2^200313313 is an apocalyptic number.

It is an amenable number.

200313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

200313313 is an equidigital number, since it uses as much as digits as its factorization.

200313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 200313313 is about 14153.2085761498. The cubic root of 200313313 is about 585.1087659065.

Adding to 200313313 its reverse (313313002), we get a palindrome (513626315).

The spelling of 200313313 in words is "two hundred million, three hundred thirteen thousand, three hundred thirteen".