131311223200200 has 384 divisors, whose sum is σ = 440002666598400. Its totient is φ = 32295318021120.

The previous prime is 131311223200189. The next prime is 131311223200259. The reversal of 131311223200200 is 2002322113131.

131311223200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 297127797 + ... + 297569403.

It is an arithmetic number, because the mean of its divisors is an integer number (1145840277600).

Almost surely, 2^{131311223200200} is an apocalyptic number.

131311223200200 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 131311223200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220001333299200).

131311223200200 is an abundant number, since it is smaller than the sum of its proper divisors (308691443398200).

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

131311223200200 is a wasteful number, since it uses less digits than its factorization.

131311223200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442421 (or 442412 counting only the distinct ones).

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

Adding to 131311223200200 its reverse (2002322113131), we get a palindrome (133313545313331).

The spelling of 131311223200200 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred twenty-three million, two hundred thousand, two hundred".