331312001 has 2 divisors, whose sum is σ = 331312002. Its totient is φ = 331312000.

The previous prime is 331311961. The next prime is 331312019. The reversal of 331312001 is 100213133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237899776 + 93412225 = 15424^2 + 9665^2 .

It is an emirp because it is prime and its reverse (100213133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331312001 - 2¹⁴ = 331295617 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331312301) 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, 165656000 + 165656001.

It is an arithmetic number, because the mean of its divisors is an integer number (165656001).

Almost surely, 2^331312001 is an apocalyptic number.

It is an amenable number.

331312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312001 is an equidigital number, since it uses as much as digits as its factorization.

331312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 331312001 is about 18201.9779419710. The cubic root of 331312001 is about 691.9569182809.

Adding to 331312001 its reverse (100213133), we get a palindrome (431525134).

The spelling of 331312001 in words is "three hundred thirty-one million, three hundred twelve thousand, one".