131035363357248 has 896 divisors, whose sum is σ = 455409785241600. Its totient is φ = 36168626995200.

The previous prime is 131035363357229. The next prime is 131035363357253. The reversal of 131035363357248 is 842753363530131.

131035363357248 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 5 + 3 + 63 + 3 + 572 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131035363357194 and 131035363357203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38987015088 + ... + 38987018448.

It is an arithmetic number, because the mean of its divisors is an integer number (508269849600).

Almost surely, 2^{131035363357248} is an apocalyptic number.

131035363357248 is a gapful number since it is divisible by the number (18) 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 131035363357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227704892620800).

131035363357248 is an abundant number, since it is smaller than the sum of its proper divisors (324374421884352).

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

131035363357248 is a wasteful number, since it uses less digits than its factorization.

131035363357248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 131035363357248 in words is "one hundred thirty-one trillion, thirty-five billion, three hundred sixty-three million, three hundred fifty-seven thousand, two hundred forty-eight".