131342330204200 has 96 divisors (see below), whose sum is σ = 307188674827200. Its totient is φ = 52225039319040.

The previous prime is 131342330204171. The next prime is 131342330204291. The reversal of 131342330204200 is 2402033243131.

It is a happy number.

131342330204200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131342330204200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22408291 + ... + 27655309.

It is an arithmetic number, because the mean of its divisors is an integer number (3199882029450).

Almost surely, 2^{131342330204200} is an apocalyptic number.

131342330204200 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 131342330204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153594337413600).

131342330204200 is an abundant number, since it is smaller than the sum of its proper divisors (175846344623000).

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

131342330204200 is a wasteful number, since it uses less digits than its factorization.

131342330204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247779 (or 5247770 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131342330204200 its reverse (2402033243131), we get a palindrome (133744363447331).

The spelling of 131342330204200 in words is "one hundred thirty-one trillion, three hundred forty-two billion, three hundred thirty million, two hundred four thousand, two hundred".