131320314434304 has 432 divisors, whose sum is σ = 398103626112192. Its totient is φ = 41551868362752.

The previous prime is 131320314434297. The next prime is 131320314434333. The reversal of 131320314434304 is 403434413023131.

131320314434304 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 0 + 314 + 4 + 34 + 304 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 5106349254 + ... + 5106374970.

It is an arithmetic number, because the mean of its divisors is an integer number (921536171556).

Almost surely, 2^{131320314434304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320314434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199051813056096).

131320314434304 is an abundant number, since it is smaller than the sum of its proper divisors (266783311677888).

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

131320314434304 is a wasteful number, since it uses less digits than its factorization.

131320314434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26492 (or 26475 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131320314434304 its reverse (403434413023131), we get a palindrome (534754727457435).

The spelling of 131320314434304 in words is "one hundred thirty-one trillion, three hundred twenty billion, three hundred fourteen million, four hundred thirty-four thousand, three hundred four".