14001300310013 has 12 divisors (see below), whose sum is σ = 14875331403540. Its totient is φ = 13175942103552.

The previous prime is 14001300309961. The next prime is 14001300310057. The reversal of 14001300310013 is 31001300310041.

It can be written as a sum of positive squares in 6 ways, for example, as 2193704569 + 13999106605444 = 46837^2 + 3741538^2 .

It is not a de Polignac number, because 14001300310013 - 2⁸ = 14001300309757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14001300309973 and 14001300310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001300310213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041506 + ... + 5393267.

It is an arithmetic number, because the mean of its divisors is an integer number (1239610950295).

Almost surely, 2^{14001300310013} is an apocalyptic number.

It is an amenable number.

14001300310013 is a deficient number, since it is larger than the sum of its proper divisors (874031093527).

14001300310013 is an equidigital number, since it uses as much as digits as its factorization.

14001300310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442336 (or 6442319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 14001300310013 its reverse (31001300310041), we get a palindrome (45002600620054).

The spelling of 14001300310013 in words is "fourteen trillion, one billion, three hundred million, three hundred ten thousand, thirteen".