131817503130768 has 320 divisors, whose sum is σ = 490189548083200. Its totient is φ = 32935315806720.

The previous prime is 131817503130721. The next prime is 131817503130769. The reversal of 131817503130768 is 867031305718131.

131817503130768 is a `hidden beast` number, since 1 + 3 + 181 + 75 + 0 + 31 + 307 + 68 = 666.

131817503130768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131817503130769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 87492838 + ... + 88986693.

It is an arithmetic number, because the mean of its divisors is an integer number (1531842337760).

Almost surely, 2^{131817503130768} is an apocalyptic number.

131817503130768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131817503130768 is an abundant number, since it is smaller than the sum of its proper divisors (358372044952432).

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

131817503130768 is a wasteful number, since it uses less digits than its factorization.

131817503130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176479587 (or 176479575 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

Adding to 131817503130768 its reverse (867031305718131), we get a palindrome (998848808848899).

The spelling of 131817503130768 in words is "one hundred thirty-one trillion, eight hundred seventeen billion, five hundred three million, one hundred thirty thousand, seven hundred sixty-eight".