131050400415012 has 288 divisors, whose sum is σ = 389964875489280. Its totient is φ = 36722641489920.

The previous prime is 131050400415001. The next prime is 131050400415041. The reversal of 131050400415012 is 210514004050131.

131050400415012 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 504 + 0 + 0 + 4 + 150 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2459674189 + ... + 2459727467.

It is an arithmetic number, because the mean of its divisors is an integer number (1354044706560).

Almost surely, 2^{131050400415012} is an apocalyptic number.

131050400415012 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 131050400415012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194982437744640).

131050400415012 is an abundant number, since it is smaller than the sum of its proper divisors (258914475074268).

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

131050400415012 is a wasteful number, since it uses less digits than its factorization.

131050400415012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63323 (or 63318 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 131050400415012 its reverse (210514004050131), we get a palindrome (341564404465143).

The spelling of 131050400415012 in words is "one hundred thirty-one trillion, fifty billion, four hundred million, four hundred fifteen thousand, twelve".