331223418347201 has 2 divisors, whose sum is σ = 331223418347202. Its totient is φ = 331223418347200.

The previous prime is 331223418347189. The next prime is 331223418347291. The reversal of 331223418347201 is 102743814322133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303588841287601 + 27634577059600 = 17423801^2 + 5256860^2 .

It is a cyclic number.

It is not a de Polignac number, because 331223418347201 - 2¹⁴ = 331223418330817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331223418347291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165611709173600 + 165611709173601.

It is an arithmetic number, because the mean of its divisors is an integer number (165611709173601).

Almost surely, 2^{331223418347201} is an apocalyptic number.

It is an amenable number.

331223418347201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331223418347201 is an equidigital number, since it uses as much as digits as its factorization.

331223418347201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 331223418347201 in words is "three hundred thirty-one trillion, two hundred twenty-three billion, four hundred eighteen million, three hundred forty-seven thousand, two hundred one".