131342441024300 has 144 divisors (see below), whose sum is σ = 324476366683392. Its totient is φ = 45679458105600.

The previous prime is 131342441024279. The next prime is 131342441024317. The reversal of 131342441024300 is 3420144243131.

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, 241267214 + ... + 241810986.

It is an arithmetic number, because the mean of its divisors is an integer number (2253308101968).

Almost surely, 2^{131342441024300} is an apocalyptic number.

131342441024300 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 131342441024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162238183341696).

131342441024300 is an abundant number, since it is smaller than the sum of its proper divisors (193133925659092).

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

131342441024300 is a wasteful number, since it uses less digits than its factorization.

131342441024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553368 (or 553361 counting only the distinct ones).

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

Adding to 131342441024300 its reverse (3420144243131), we get a palindrome (134762585267431).

The spelling of 131342441024300 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred forty-one million, twenty-four thousand, three hundred".