131330501445312 has 252 divisors, whose sum is σ = 410119929038664. Its totient is φ = 40161469870080.

The previous prime is 131330501445289. The next prime is 131330501445331. The reversal of 131330501445312 is 213544105033131.

131330501445312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 30 + 50 + 1 + 44 + 531 + 2 = 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 35 ways as a sum of consecutive naturals, for example, 11728612 + ... + 20005532.

Almost surely, 2^{131330501445312} is an apocalyptic number.

131330501445312 is a gapful number since it is divisible by the number (12) 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 131330501445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205059964519332).

131330501445312 is an abundant number, since it is smaller than the sum of its proper divisors (278789427593352).

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

131330501445312 is a wasteful number, since it uses less digits than its factorization.

131330501445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277128 (or 8277102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 131330501445312 its reverse (213544105033131), we get a palindrome (344874606478443).

The spelling of 131330501445312 in words is "one hundred thirty-one trillion, three hundred thirty billion, five hundred one million, four hundred forty-five thousand, three hundred twelve".