14100013210313 has 2 divisors, whose sum is σ = 14100013210314. Its totient is φ = 14100013210312.

The previous prime is 14100013210289. The next prime is 14100013210319. The reversal of 14100013210313 is 31301231000141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14044228438969 + 55784771344 = 3747563^2 + 236188^2 .

It is an emirp because it is prime and its reverse (31301231000141) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14100013210313 - 2⁸ = 14100013210057 is a prime.

It is a super-2 number, since 2×14100013210313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14100013210319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7050006605156 + 7050006605157.

It is an arithmetic number, because the mean of its divisors is an integer number (7050006605157).

Almost surely, 2^{14100013210313} is an apocalyptic number.

It is an amenable number.

14100013210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

14100013210313 is an equidigital number, since it uses as much as digits as its factorization.

14100013210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 14100013210313 its reverse (31301231000141), we get a palindrome (45401244210454).

The spelling of 14100013210313 in words is "fourteen trillion, one hundred billion, thirteen million, two hundred ten thousand, three hundred thirteen".