321404212321289 has 2 divisors, whose sum is σ = 321404212321290. Its totient is φ = 321404212321288.

The previous prime is 321404212321261. The next prime is 321404212321303. The reversal of 321404212321289 is 982123212404123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162351555975625 + 159052656345664 = 12741725^2 + 12611608^2 .

It is an emirp because it is prime and its reverse (982123212404123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321404212321289 - 2²⁰ = 321404211272713 is a prime.

It is not a weakly prime, because it can be changed into another prime (321404212321589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160702106160644 + 160702106160645.

It is an arithmetic number, because the mean of its divisors is an integer number (160702106160645).

Almost surely, 2^{321404212321289} is an apocalyptic number.

It is an amenable number.

321404212321289 is a deficient number, since it is larger than the sum of its proper divisors (1).

321404212321289 is an equidigital number, since it uses as much as digits as its factorization.

321404212321289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 321404212321289 in words is "three hundred twenty-one trillion, four hundred four billion, two hundred twelve million, three hundred twenty-one thousand, two hundred eighty-nine".