131513431303232 has 224 divisors, whose sum is σ = 296191336089600. Its totient is φ = 57389020774400.

The previous prime is 131513431303217. The next prime is 131513431303249. The reversal of 131513431303232 is 232303134315131.

It is a super-2 number, since 2×131513431303232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131513431303192 and 131513431303201.

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 31 ways as a sum of consecutive naturals, for example, 10267261244 + ... + 10267274052.

It is an arithmetic number, because the mean of its divisors is an integer number (1322282750400).

Almost surely, 2^{131513431303232} 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 131513431303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148095668044800).

131513431303232 is an abundant number, since it is smaller than the sum of its proper divisors (164677904786368).

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

131513431303232 is a wasteful number, since it uses less digits than its factorization.

131513431303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

Adding to 131513431303232 its reverse (232303134315131), we get a palindrome (363816565618363).

The spelling of 131513431303232 in words is "one hundred thirty-one trillion, five hundred thirteen billion, four hundred thirty-one million, three hundred three thousand, two hundred thirty-two".