131342224424000 has 112 divisors (see below), whose sum is σ = 328253140403760. Its totient is φ = 52054899609600.

The previous prime is 131342224423999. The next prime is 131342224424017. The reversal of 131342224424000 is 424422243131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21040642392064 + 110301582031936 = 4587008^2 + 10502456^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74438909 + ... + 76182908.

Almost surely, 2^{131342224424000} is an apocalyptic number.

131342224424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342224424000 is an abundant number, since it is smaller than the sum of its proper divisors (196910915979760).

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

131342224424000 is a wasteful number, since it uses less digits than its factorization.

131342224424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150621953 (or 150621933 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131342224424000 its reverse (424422243131), we get a palindrome (131766646667131).

The spelling of 131342224424000 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-four million, four hundred twenty-four thousand".