131312200200 has 192 divisors, whose sum is σ = 418233231360. Its totient is φ = 34065112320.

The previous prime is 131312200193. The next prime is 131312200211. The reversal of 131312200200 is 2002213131.

131312200200 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-4 number, since 4×131312200200⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131312200200.

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, 4695459 + ... + 4723341.

It is an arithmetic number, because the mean of its divisors is an integer number (2178298080).

Almost surely, 2^131312200200 is an apocalyptic number.

131312200200 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 131312200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209116615680).

131312200200 is an abundant number, since it is smaller than the sum of its proper divisors (286921031160).

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

131312200200 is a wasteful number, since it uses less digits than its factorization.

131312200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28116 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131312200200 its reverse (2002213131), we get a palindrome (133314413331).

The spelling of 131312200200 in words is "one hundred thirty-one billion, three hundred twelve million, two hundred thousand, two hundred".