2201003322313 has 2 divisors, whose sum is σ = 2201003322314. Its totient is φ = 2201003322312.

The previous prime is 2201003322307. The next prime is 2201003322317. The reversal of 2201003322313 is 3132233001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1171563782544 + 1029439539769 = 1082388^2 + 1014613^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201003322313 - 2¹⁷ = 2201003191241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201003322317) 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, 1100501661156 + 1100501661157.

It is an arithmetic number, because the mean of its divisors is an integer number (1100501661157).

Almost surely, 2^{2201003322313} is an apocalyptic number.

It is an amenable number.

2201003322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201003322313 is an equidigital number, since it uses as much as digits as its factorization.

2201003322313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2201003322313 its reverse (3132233001022), we get a palindrome (5333236323335).

The spelling of 2201003322313 in words is "two trillion, two hundred one billion, three million, three hundred twenty-two thousand, three hundred thirteen".