131140343134200 has 192 divisors, whose sum is σ = 408397555526400. Its totient is φ = 34810750310400.

The previous prime is 131140343134193. The next prime is 131140343134217. The reversal of 131140343134200 is 2431343041131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203397936 + ... + 204041664.

It is an arithmetic number, because the mean of its divisors is an integer number (2127070601700).

Almost surely, 2^{131140343134200} is an apocalyptic number.

131140343134200 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 131140343134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204198777763200).

131140343134200 is an abundant number, since it is smaller than the sum of its proper divisors (277257212392200).

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

131140343134200 is a wasteful number, since it uses less digits than its factorization.

131140343134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645302 (or 645293 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131140343134200 its reverse (2431343041131), we get a palindrome (133571686175331).

The spelling of 131140343134200 in words is "one hundred thirty-one trillion, one hundred forty billion, three hundred forty-three million, one hundred thirty-four thousand, two hundred".