20231313301013 has 2 divisors, whose sum is σ = 20231313301014. Its totient is φ = 20231313301012.

The previous prime is 20231313300997. The next prime is 20231313301033. The reversal of 20231313301013 is 31010331313202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18902164866244 + 1329148434769 = 4347662^2 + 1152887^2 .

It is a cyclic number.

It is not a de Polignac number, because 20231313301013 - 2⁴ = 20231313300997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20231313301013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20231313301033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10115656650506 + 10115656650507.

It is an arithmetic number, because the mean of its divisors is an integer number (10115656650507).

Almost surely, 2^{20231313301013} is an apocalyptic number.

It is an amenable number.

20231313301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20231313301013 is an equidigital number, since it uses as much as digits as its factorization.

20231313301013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20231313301013 its reverse (31010331313202), we get a palindrome (51241644614215).

The spelling of 20231313301013 in words is "twenty trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred one thousand, thirteen".