23323123313057 has 2 divisors, whose sum is σ = 23323123313058. Its totient is φ = 23323123313056.

The previous prime is 23323123313033. The next prime is 23323123313059. The reversal of 23323123313057 is 75031332132332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20663715781696 + 2659407531361 = 4545736^2 + 1630769^2 .

It is a cyclic number.

It is not a de Polignac number, because 23323123313057 - 2¹⁶ = 23323123247521 is a prime.

Together with 23323123313059, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23323123313057.

It is not a weakly prime, because it can be changed into another prime (23323123313059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11661561656528 + 11661561656529.

It is an arithmetic number, because the mean of its divisors is an integer number (11661561656529).

Almost surely, 2^{23323123313057} is an apocalyptic number.

It is an amenable number.

23323123313057 is a deficient number, since it is larger than the sum of its proper divisors (1).

23323123313057 is an equidigital number, since it uses as much as digits as its factorization.

23323123313057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 38.

Adding to 23323123313057 its reverse (75031332132332), we get a palindrome (98354455445389).

The spelling of 23323123313057 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred twenty-three million, three hundred thirteen thousand, fifty-seven".