14131000314200 has 768 divisors, whose sum is σ = 43925455733760. Its totient is φ = 4092641280000.

The previous prime is 14131000314199. The next prime is 14131000314227. The reversal of 14131000314200 is 241300013141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14463664112 + ... + 14463665088.

It is an arithmetic number, because the mean of its divisors is an integer number (57194603820).

Almost surely, 2^{14131000314200} is an apocalyptic number.

14131000314200 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 14131000314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962727866880).

14131000314200 is an abundant number, since it is smaller than the sum of its proper divisors (29794455419560).

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

14131000314200 is a wasteful number, since it uses less digits than its factorization.

14131000314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14131000314200 its reverse (241300013141), we get a palindrome (14372300327341).

The spelling of 14131000314200 in words is "fourteen trillion, one hundred thirty-one billion, three hundred fourteen thousand, two hundred".