321300013312193 has 2 divisors, whose sum is σ = 321300013312194. Its totient is φ = 321300013312192.

The previous prime is 321300013312147. The next prime is 321300013312261. The reversal of 321300013312193 is 391213310003123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 291880584447169 + 29419428865024 = 17084513^2 + 5423968^2 .

It is a cyclic number.

It is not a de Polignac number, because 321300013312193 - 2¹² = 321300013308097 is a prime.

It is not a weakly prime, because it can be changed into another prime (321300013312133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160650006656096 + 160650006656097.

It is an arithmetic number, because the mean of its divisors is an integer number (160650006656097).

Almost surely, 2^{321300013312193} is an apocalyptic number.

It is an amenable number.

321300013312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

321300013312193 is an equidigital number, since it uses as much as digits as its factorization.

321300013312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 321300013312193 in words is "three hundred twenty-one trillion, three hundred billion, thirteen million, three hundred twelve thousand, one hundred ninety-three".