23205322314901 has 2 divisors, whose sum is σ = 23205322314902. Its totient is φ = 23205322314900.

The previous prime is 23205322314851. The next prime is 23205322314907. The reversal of 23205322314901 is 10941322350232.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18236948184676 + 4968374130225 = 4270474^2 + 2228985^2 .

It is a cyclic number.

It is not a de Polignac number, because 23205322314901 - 2¹¹ = 23205322312853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23205322314907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11602661157450 + 11602661157451.

It is an arithmetic number, because the mean of its divisors is an integer number (11602661157451).

Almost surely, 2^{23205322314901} is an apocalyptic number.

It is an amenable number.

23205322314901 is a deficient number, since it is larger than the sum of its proper divisors (1).

23205322314901 is an equidigital number, since it uses as much as digits as its factorization.

23205322314901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 23205322314901 in words is "twenty-three trillion, two hundred five billion, three hundred twenty-two million, three hundred fourteen thousand, nine hundred one".