313223201 has 2 divisors, whose sum is σ = 313223202. Its totient is φ = 313223200.

The previous prime is 313223179. The next prime is 313223213. The reversal of 313223201 is 102322313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245736976 + 67486225 = 15676^2 + 8215^2 .

It is an emirp because it is prime and its reverse (102322313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313223201 - 2¹⁰ = 313222177 is a prime.

It is a super-3 number, since 3×313223201³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313223201.

It is not a weakly prime, because it can be changed into another prime (313223291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611600 + 156611601.

It is an arithmetic number, because the mean of its divisors is an integer number (156611601).

Almost surely, 2^313223201 is an apocalyptic number.

It is an amenable number.

313223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313223201 is an equidigital number, since it uses as much as digits as its factorization.

313223201 is an evil number, because the sum of its binary digits is even.

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

The square root of 313223201 is about 17698.1129220039. The cubic root of 313223201 is about 679.1274860524.

Adding to 313223201 its reverse (102322313), we get a palindrome (415545514).

The spelling of 313223201 in words is "three hundred thirteen million, two hundred twenty-three thousand, two hundred one".