20013061705313 has 2 divisors, whose sum is σ = 20013061705314. Its totient is φ = 20013061705312.

The previous prime is 20013061705291. The next prime is 20013061705369. The reversal of 20013061705313 is 31350716031002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10766457187984 + 9246604517329 = 3281228^2 + 3040823^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013061705313 - 2¹⁴ = 20013061688929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20013061705313.

It is not a weakly prime, because it can be changed into another prime (20013061705213) 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, 10006530852656 + 10006530852657.

It is an arithmetic number, because the mean of its divisors is an integer number (10006530852657).

Almost surely, 2^{20013061705313} is an apocalyptic number.

It is an amenable number.

20013061705313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013061705313 is an equidigital number, since it uses as much as digits as its factorization.

20013061705313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

Adding to 20013061705313 its reverse (31350716031002), we get a palindrome (51363777736315).

The spelling of 20013061705313 in words is "twenty trillion, thirteen billion, sixty-one million, seven hundred five thousand, three hundred thirteen".