131244013141344 has 72 divisors (see below), whose sum is σ = 389452343362992. Its totient is φ = 41845917231360.

The previous prime is 131244013141337. The next prime is 131244013141391. The reversal of 131244013141344 is 443141310442131.

131244013141344 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 440 + 131 + 41 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 131244013141299 and 131244013141308.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9906697267 + ... + 9906710514.

It is an arithmetic number, because the mean of its divisors is an integer number (5409060324486).

Almost surely, 2^{131244013141344} is an apocalyptic number.

It is an amenable number.

131244013141344 is an abundant number, since it is smaller than the sum of its proper divisors (258208330221648).

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

131244013141344 is a wasteful number, since it uses less digits than its factorization.

131244013141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813407820 (or 19813407809 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 131244013141344 its reverse (443141310442131), we get a palindrome (574385323583475).

The spelling of 131244013141344 in words is "one hundred thirty-one trillion, two hundred forty-four billion, thirteen million, one hundred forty-one thousand, three hundred forty-four".