131201320213200 has 480 divisors, whose sum is σ = 444434054400000. Its totient is φ = 32993440542720.

The previous prime is 131201320213199. The next prime is 131201320213273. The reversal of 131201320213200 is 2312023102131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25333328211 + ... + 25333333389.

It is an arithmetic number, because the mean of its divisors is an integer number (925904280000).

Almost surely, 2^{131201320213200} is an apocalyptic number.

131201320213200 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 131201320213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222217027200000).

131201320213200 is an abundant number, since it is smaller than the sum of its proper divisors (313232734186800).

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

131201320213200 is a wasteful number, since it uses less digits than its factorization.

131201320213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131201320213200 its reverse (2312023102131), we get a palindrome (133513343315331).

The spelling of 131201320213200 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty million, two hundred thirteen thousand, two hundred".