131413433203424 has 192 divisors, whose sum is σ = 269029821215232. Its totient is φ = 63146684160000.

The previous prime is 131413433203361. The next prime is 131413433203457. The reversal of 131413433203424 is 424302334314131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28774561589 + ... + 28774566155.

It is an arithmetic number, because the mean of its divisors is an integer number (1401196985496).

Almost surely, 2^{131413433203424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413433203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134514910607616).

131413433203424 is an abundant number, since it is smaller than the sum of its proper divisors (137616388011808).

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

131413433203424 is a wasteful number, since it uses less digits than its factorization.

131413433203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 131413433203424 its reverse (424302334314131), we get a palindrome (555715767517555).

The spelling of 131413433203424 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred thirty-three million, two hundred three thousand, four hundred twenty-four".