321300141413129 has 2 divisors, whose sum is σ = 321300141413130. Its totient is φ = 321300141413128.

The previous prime is 321300141413117. The next prime is 321300141413159. The reversal of 321300141413129 is 921314141003123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213486142657225 + 107813998755904 = 14611165^2 + 10383352^2 .

It is a cyclic number.

It is not a de Polignac number, because 321300141413129 - 2²⁸ = 321299872977673 is a prime.

It is not a weakly prime, because it can be changed into another prime (321300141413159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160650070706564 + 160650070706565.

It is an arithmetic number, because the mean of its divisors is an integer number (160650070706565).

Almost surely, 2^{321300141413129} is an apocalyptic number.

It is an amenable number.

321300141413129 is a deficient number, since it is larger than the sum of its proper divisors (1).

321300141413129 is an equidigital number, since it uses as much as digits as its factorization.

321300141413129 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 35.

The spelling of 321300141413129 in words is "three hundred twenty-one trillion, three hundred billion, one hundred forty-one million, four hundred thirteen thousand, one hundred twenty-nine".