20131311303073 has 2 divisors, whose sum is σ = 20131311303074. Its totient is φ = 20131311303072.

The previous prime is 20131311303071. The next prime is 20131311303121. The reversal of 20131311303073 is 37030311313102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19729649425249 + 401661877824 = 4441807^2 + 633768^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131311303073 - 2¹ = 20131311303071 is a prime.

Together with 20131311303071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20131311303071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065655651536 + 10065655651537.

It is an arithmetic number, because the mean of its divisors is an integer number (10065655651537).

Almost surely, 2^{20131311303073} is an apocalyptic number.

It is an amenable number.

20131311303073 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131311303073 is an equidigital number, since it uses as much as digits as its factorization.

20131311303073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 20131311303073 its reverse (37030311313102), we get a palindrome (57161622616175).

The spelling of 20131311303073 in words is "twenty trillion, one hundred thirty-one billion, three hundred eleven million, three hundred three thousand, seventy-three".