321414303213301 has 2 divisors, whose sum is σ = 321414303213302. Its totient is φ = 321414303213300.

The previous prime is 321414303213287. The next prime is 321414303213359. The reversal of 321414303213301 is 103312303414123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274121036673201 + 47293266540100 = 16556601^2 + 6877010^2 .

It is an emirp because it is prime and its reverse (103312303414123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321414303213301 - 2¹³ = 321414303205109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321414303283301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160707151606650 + 160707151606651.

It is an arithmetic number, because the mean of its divisors is an integer number (160707151606651).

Almost surely, 2^{321414303213301} is an apocalyptic number.

It is an amenable number.

321414303213301 is a deficient number, since it is larger than the sum of its proper divisors (1).

321414303213301 is an equidigital number, since it uses as much as digits as its factorization.

321414303213301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 321414303213301 its reverse (103312303414123), we get a palindrome (424726606627424).

The spelling of 321414303213301 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred three million, two hundred thirteen thousand, three hundred one".