200314313 has 2 divisors, whose sum is σ = 200314314. Its totient is φ = 200314312.

The previous prime is 200314307. The next prime is 200314319. The reversal of 200314313 is 313413002.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (200314307) and next prime (200314319).

It can be written as a sum of positive squares in only one way, i.e., 190660864 + 9653449 = 13808^2 + 3107^2 .

It is a cyclic number.

It is not a de Polignac number, because 200314313 - 2²² = 196120009 is a prime.

It is a super-3 number, since 3×200314313³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200314291 and 200314300.

It is not a weakly prime, because it can be changed into another prime (200314319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100157156 + 100157157.

It is an arithmetic number, because the mean of its divisors is an integer number (100157157).

Almost surely, 2^200314313 is an apocalyptic number.

It is an amenable number.

200314313 is a deficient number, since it is larger than the sum of its proper divisors (1).

200314313 is an equidigital number, since it uses as much as digits as its factorization.

200314313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 200314313 is about 14153.2439037840. The cubic root of 200314313 is about 585.1097395608.

Adding to 200314313 its reverse (313413002), we get a palindrome (513727315).

The spelling of 200314313 in words is "two hundred million, three hundred fourteen thousand, three hundred thirteen".