14001300301300 has 144 divisors (see below), whose sum is σ = 33522509047104. Its totient is φ = 5042943360000.

The previous prime is 14001300301271. The next prime is 14001300301333. The reversal of 14001300301300 is 310300310041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569818015 + ... + 569842585.

It is an arithmetic number, because the mean of its divisors is an integer number (232795201716).

Almost surely, 2^{14001300301300} is an apocalyptic number.

14001300301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001300301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761254523552).

14001300301300 is an abundant number, since it is smaller than the sum of its proper divisors (19521208745804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14001300301300 is a wasteful number, since it uses less digits than its factorization.

14001300301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35330 (or 35323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 14001300301300 its reverse (310300310041), we get a palindrome (14311600611341).

The spelling of 14001300301300 in words is "fourteen trillion, one billion, three hundred million, three hundred one thousand, three hundred".