314301402121129 has 2 divisors, whose sum is σ = 314301402121130. Its totient is φ = 314301402121128.

The previous prime is 314301402121039. The next prime is 314301402121283. The reversal of 314301402121129 is 921121204103413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310406609089600 + 3894793031529 = 17618360^2 + 1973523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314301402121129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314301402121094 and 314301402121103.

It is not a weakly prime, because it can be changed into another prime (314301402125129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157150701060564 + 157150701060565.

It is an arithmetic number, because the mean of its divisors is an integer number (157150701060565).

Almost surely, 2^{314301402121129} is an apocalyptic number.

It is an amenable number.

314301402121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

314301402121129 is an equidigital number, since it uses as much as digits as its factorization.

314301402121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 314301402121129 in words is "three hundred fourteen trillion, three hundred one billion, four hundred two million, one hundred twenty-one thousand, one hundred twenty-nine".