3222101002313 has 2 divisors, whose sum is σ = 3222101002314. Its totient is φ = 3222101002312.

The previous prime is 3222101002303. The next prime is 3222101002319. The reversal of 3222101002313 is 3132001012223.

3222101002313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3100406075209 + 121694927104 = 1760797^2 + 348848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3222101002313 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 (3222101002319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611050501156 + 1611050501157.

It is an arithmetic number, because the mean of its divisors is an integer number (1611050501157).

Almost surely, 2^{3222101002313} is an apocalyptic number.

It is an amenable number.

3222101002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3222101002313 is an equidigital number, since it uses as much as digits as its factorization.

3222101002313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3222101002313 its reverse (3132001012223), we get a palindrome (6354102014536).

The spelling of 3222101002313 in words is "three trillion, two hundred twenty-two billion, one hundred one million, two thousand, three hundred thirteen".