201000313 has 2 divisors, whose sum is σ = 201000314. Its totient is φ = 201000312.

The previous prime is 201000301. The next prime is 201000323. The reversal of 201000313 is 313000102.

It is an a-pointer prime, because the next prime (201000323) can be obtained adding 201000313 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119946304 + 81054009 = 10952^2 + 9003^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000313 - 2¹⁷ = 200869241 is a prime.

It is a super-2 number, since 2×201000313² = 80802251652195938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201000313.

It is not a weakly prime, because it can be changed into another prime (201000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500156 + 100500157.

It is an arithmetic number, because the mean of its divisors is an integer number (100500157).

Almost surely, 2^201000313 is an apocalyptic number.

It is an amenable number.

201000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000313 is an equidigital number, since it uses as much as digits as its factorization.

201000313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 201000313 is about 14177.4579174124. The cubic root of 201000313 is about 585.7769043247.

Adding to 201000313 its reverse (313000102), we get a palindrome (514000415).

The spelling of 201000313 in words is "two hundred one million, three hundred thirteen", and thus it is an aban number.