131056301134440 has 384 divisors, whose sum is σ = 482053358592000. Its totient is φ = 30591836352000.

The previous prime is 131056301134349. The next prime is 131056301134459. The reversal of 131056301134440 is 44431103650131.

131056301134440 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 6 + 301 + 1 + 344 + 4 + 0 = 666.

It is a super-2 number, since 2×131056301134440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131056301134395 and 131056301134404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21746875 + ... + 27111605.

It is an arithmetic number, because the mean of its divisors is an integer number (1255347288000).

Almost surely, 2^{131056301134440} is an apocalyptic number.

131056301134440 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 131056301134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241026679296000).

131056301134440 is an abundant number, since it is smaller than the sum of its proper divisors (350997057457560).

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

131056301134440 is a wasteful number, since it uses less digits than its factorization.

131056301134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364989 (or 5364982 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131056301134440 its reverse (44431103650131), we get a palindrome (175487404784571).

The spelling of 131056301134440 in words is "one hundred thirty-one trillion, fifty-six billion, three hundred one million, one hundred thirty-four thousand, four hundred forty".