131324442984 has 192 divisors, whose sum is σ = 410518817280. Its totient is φ = 37149840000.

The previous prime is 131324442983. The next prime is 131324443009. The reversal of 131324442984 is 489244423131.

131324442984 is a `hidden beast` number, since 1 + 31 + 324 + 4 + 4 + 298 + 4 = 666.

It is a super-2 number, since 2×131324442984² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131324442983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32415759 + ... + 32419809.

It is an arithmetic number, because the mean of its divisors is an integer number (2138118840).

Almost surely, 2^131324442984 is an apocalyptic number.

131324442984 is a gapful number since it is divisible by the number (14) 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 131324442984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205259408640).

131324442984 is an abundant number, since it is smaller than the sum of its proper divisors (279194374296).

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

131324442984 is a wasteful number, since it uses less digits than its factorization.

131324442984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4685 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 131324442984 in words is "one hundred thirty-one billion, three hundred twenty-four million, four hundred forty-two thousand, nine hundred eighty-four".