131403028509424 has 240 divisors, whose sum is σ = 309119626015200. Its totient is φ = 53906738995200.

The previous prime is 131403028509421. The next prime is 131403028509433. The reversal of 131403028509424 is 424905820304131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403028509421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988007922 + ... + 988140910.

It is an arithmetic number, because the mean of its divisors is an integer number (1287998441730).

Almost surely, 2^{131403028509424} is an apocalyptic number.

131403028509424 is a gapful number since it is divisible by the number (14) 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 131403028509424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154559813007600).

131403028509424 is an abundant number, since it is smaller than the sum of its proper divisors (177716597505776).

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

131403028509424 is a wasteful number, since it uses less digits than its factorization.

131403028509424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133632 (or 133619 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 131403028509424 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-eight million, five hundred nine thousand, four hundred twenty-four".