131513765532424 has 512 divisors, whose sum is σ = 295307819089920. Its totient is φ = 54337029120000.

The previous prime is 131513765532421. The next prime is 131513765532497. The reversal of 131513765532424 is 424235567315131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131513765532421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79082239417 + ... + 79082241079.

It is an arithmetic number, because the mean of its divisors is an integer number (576773084160).

Almost surely, 2^{131513765532424} 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 131513765532424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147653909544960).

131513765532424 is an abundant number, since it is smaller than the sum of its proper divisors (163794053557496).

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

131513765532424 is a wasteful number, since it uses less digits than its factorization.

131513765532424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 52.

The spelling of 131513765532424 in words is "one hundred thirty-one trillion, five hundred thirteen billion, seven hundred sixty-five million, five hundred thirty-two thousand, four hundred twenty-four".