20002201110313 has 2 divisors, whose sum is σ = 20002201110314. Its totient is φ = 20002201110312.

The previous prime is 20002201110257. The next prime is 20002201110319. The reversal of 20002201110313 is 31301110220002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16089982157824 + 3912218952489 = 4011232^2 + 1977933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20002201110313 is a prime.

It is not a weakly prime, because it can be changed into another prime (20002201110319) 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, 10001100555156 + 10001100555157.

It is an arithmetic number, because the mean of its divisors is an integer number (10001100555157).

Almost surely, 2^{20002201110313} is an apocalyptic number.

It is an amenable number.

20002201110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002201110313 is an equidigital number, since it uses as much as digits as its factorization.

20002201110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20002201110313 its reverse (31301110220002), we get a palindrome (51303311330315).

The spelling of 20002201110313 in words is "twenty trillion, two billion, two hundred one million, one hundred ten thousand, three hundred thirteen".