23301223113013 has 2 divisors, whose sum is σ = 23301223113014. Its totient is φ = 23301223113012.

The previous prime is 23301223112983. The next prime is 23301223113061. The reversal of 23301223113013 is 31031132210332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18694009853649 + 4607213259364 = 4323657^2 + 2146442^2 .

It is a cyclic number.

It is not a de Polignac number, because 23301223113013 - 2¹³ = 23301223104821 is a prime.

It is a super-2 number, since 2×23301223113013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23301223113613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11650611556506 + 11650611556507.

It is an arithmetic number, because the mean of its divisors is an integer number (11650611556507).

Almost surely, 2^{23301223113013} is an apocalyptic number.

It is an amenable number.

23301223113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23301223113013 is an equidigital number, since it uses as much as digits as its factorization.

23301223113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 23301223113013 its reverse (31031132210332), we get a palindrome (54332355323345).

The spelling of 23301223113013 in words is "twenty-three trillion, three hundred one billion, two hundred twenty-three million, one hundred thirteen thousand, thirteen".