2201311023313 has 2 divisors, whose sum is σ = 2201311023314. Its totient is φ = 2201311023312.

The previous prime is 2201311023299. The next prime is 2201311023319. The reversal of 2201311023313 is 3133201131022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2041860949969 + 159450073344 = 1428937^2 + 399312^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201311023313 - 2⁵ = 2201311023281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201311023319) 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, 1100655511656 + 1100655511657.

It is an arithmetic number, because the mean of its divisors is an integer number (1100655511657).

Almost surely, 2^{2201311023313} is an apocalyptic number.

It is an amenable number.

2201311023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201311023313 is an equidigital number, since it uses as much as digits as its factorization.

2201311023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2201311023313 its reverse (3133201131022), we get a palindrome (5334512154335).

The spelling of 2201311023313 in words is "two trillion, two hundred one billion, three hundred eleven million, twenty-three thousand, three hundred thirteen".