131343220333440 has 384 divisors, whose sum is σ = 480361683597120. Its totient is φ = 32955097743360.

The previous prime is 131343220333411. The next prime is 131343220333441. The reversal of 131343220333440 is 44333022343131.

131343220333440 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 3 + 2 + 203 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 131343220333395 and 131343220333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131343220333441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343606102 + ... + 343988138.

Almost surely, 2^{131343220333440} is an apocalyptic number.

131343220333440 is a gapful number since it is divisible by the number (10) 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 131343220333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240180841798560).

131343220333440 is an abundant number, since it is smaller than the sum of its proper divisors (349018463263680).

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

131343220333440 is a wasteful number, since it uses less digits than its factorization.

131343220333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385590 (or 385575 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 131343220333440 its reverse (44333022343131), we get a palindrome (175676242676571).

The spelling of 131343220333440 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred twenty million, three hundred thirty-three thousand, four hundred forty".