21724336310233 has 2 divisors, whose sum is σ = 21724336310234. Its totient is φ = 21724336310232.

The previous prime is 21724336310207. The next prime is 21724336310273. The reversal of 21724336310233 is 33201363342712.

It is an a-pointer prime, because the next prime (21724336310273) can be obtained adding 21724336310233 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14438806824649 + 7285529485584 = 3799843^2 + 2699172^2 .

It is a cyclic number.

It is not a de Polignac number, because 21724336310233 - 2²⁵ = 21724302755801 is a prime.

It is not a weakly prime, because it can be changed into another prime (21724336310273) 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, 10862168155116 + 10862168155117.

It is an arithmetic number, because the mean of its divisors is an integer number (10862168155117).

Almost surely, 2^{21724336310233} is an apocalyptic number.

It is an amenable number.

21724336310233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21724336310233 is an equidigital number, since it uses as much as digits as its factorization.

21724336310233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 40.

Adding to 21724336310233 its reverse (33201363342712), we get a palindrome (54925699652945).

The spelling of 21724336310233 in words is "twenty-one trillion, seven hundred twenty-four billion, three hundred thirty-six million, three hundred ten thousand, two hundred thirty-three".