14131031220200 has 144 divisors (see below), whose sum is σ = 35246526416100. Its totient is φ = 5267243008000.

The previous prime is 14131031220193. The next prime is 14131031220221. The reversal of 14131031220200 is 202213013141.

14131031220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 1682878318564 + 12448152901636 = 1297258^2 + 3528194^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4627496 + ... + 7048104.

Almost surely, 2^{14131031220200} is an apocalyptic number.

14131031220200 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 14131031220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623263208050).

14131031220200 is an abundant number, since it is smaller than the sum of its proper divisors (21115495195900).

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

14131031220200 is a wasteful number, since it uses less digits than its factorization.

14131031220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420760 (or 2420734 counting only the distinct ones).

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

Adding to 14131031220200 its reverse (202213013141), we get a palindrome (14333244233341).

The spelling of 14131031220200 in words is "fourteen trillion, one hundred thirty-one billion, thirty-one million, two hundred twenty thousand, two hundred".