23000311300013 has 2 divisors, whose sum is σ = 23000311300014. Its totient is φ = 23000311300012.

The previous prime is 23000311299949. The next prime is 23000311300033. The reversal of 23000311300013 is 31000311300032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12076479865129 + 10923831434884 = 3475123^2 + 3305122^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000311300013 - 2⁶ = 23000311299949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23000311299964 and 23000311300000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23000311300033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500155650006 + 11500155650007.

It is an arithmetic number, because the mean of its divisors is an integer number (11500155650007).

Almost surely, 2^{23000311300013} is an apocalyptic number.

It is an amenable number.

23000311300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23000311300013 is an equidigital number, since it uses as much as digits as its factorization.

23000311300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 23000311300013 its reverse (31000311300032), we get a palindrome (54000622600045).

The spelling of 23000311300013 in words is "twenty-three trillion, three hundred eleven million, three hundred thousand, thirteen".