320113013209961 has 2 divisors, whose sum is σ = 320113013209962. Its totient is φ = 320113013209960.

The previous prime is 320113013209867. The next prime is 320113013210041. The reversal of 320113013209961 is 169902310311023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319755910158400 + 357103051561 = 17881720^2 + 597581^2 .

It is a cyclic number.

It is not a de Polignac number, because 320113013209961 - 2²⁶ = 320112946101097 is a prime.

It is not a weakly prime, because it can be changed into another prime (320113013209261) 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, 160056506604980 + 160056506604981.

It is an arithmetic number, because the mean of its divisors is an integer number (160056506604981).

Almost surely, 2^{320113013209961} is an apocalyptic number.

It is an amenable number.

320113013209961 is a deficient number, since it is larger than the sum of its proper divisors (1).

320113013209961 is an equidigital number, since it uses as much as digits as its factorization.

320113013209961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 320113013209961 in words is "three hundred twenty trillion, one hundred thirteen billion, thirteen million, two hundred nine thousand, nine hundred sixty-one".