131432342241200 has 720 divisors, whose sum is σ = 437448769674336. Its totient is φ = 37296632217600.

The previous prime is 131432342241163. The next prime is 131432342241241. The reversal of 131432342241200 is 2142243234131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204283214 + ... + 204925586.

Almost surely, 2^{131432342241200} is an apocalyptic number.

131432342241200 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 131432342241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218724384837168).

131432342241200 is an abundant number, since it is smaller than the sum of its proper divisors (306016427433136).

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

131432342241200 is a wasteful number, since it uses less digits than its factorization.

131432342241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642502 (or 642484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131432342241200 its reverse (2142243234131), we get a palindrome (133574585475331).

The spelling of 131432342241200 in words is "one hundred thirty-one trillion, four hundred thirty-two billion, three hundred forty-two million, two hundred forty-one thousand, two hundred".