131343444414 has 192 divisors, whose sum is σ = 361337872896. Its totient is φ = 33551822592.

The previous prime is 131343444391. The next prime is 131343444431. The reversal of 131343444414 is 414444343131.

131343444414 is a `hidden beast` number, since 131 + 3 + 43 + 44 + 441 + 4 = 666.

It is a super-3 number, since 3×131343444414³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 13752789 + ... + 13762335.

It is an arithmetic number, because the mean of its divisors is an integer number (1881968088).

Almost surely, 2^131343444414 is an apocalyptic number.

131343444414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131343444414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180668936448).

131343444414 is an abundant number, since it is smaller than the sum of its proper divisors (229994428482).

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

131343444414 is a wasteful number, since it uses less digits than its factorization.

131343444414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9836 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 131343444414 its reverse (414444343131), we get a palindrome (545787787545).

The spelling of 131343444414 in words is "one hundred thirty-one billion, three hundred forty-three million, four hundred forty-four thousand, four hundred fourteen".