312133201 has 2 divisors, whose sum is σ = 312133202. Its totient is φ = 312133200.

The previous prime is 312133169. The next prime is 312133223. The reversal of 312133201 is 102331213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181602576 + 130530625 = 13476^2 + 11425^2 .

It is an emirp because it is prime and its reverse (102331213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312133201 - 2⁵ = 312133169 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066600 + 156066601.

It is an arithmetic number, because the mean of its divisors is an integer number (156066601).

Almost surely, 2^312133201 is an apocalyptic number.

It is an amenable number.

312133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133201 is an equidigital number, since it uses as much as digits as its factorization.

312133201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312133201 is about 17667.2918411397. The cubic root of 312133201 is about 678.3387946900.

Adding to 312133201 its reverse (102331213), we get a palindrome (414464414).

The spelling of 312133201 in words is "three hundred twelve million, one hundred thirty-three thousand, two hundred one".