131433304200032 has 96 divisors (see below), whose sum is σ = 278842386392640. Its totient is φ = 60759677583360.

The previous prime is 131433304200031. The next prime is 131433304200059. The reversal of 131433304200032 is 230002403334131.

It is a junction number, because it is equal to n+sod(n) for n = 131433304199968 and 131433304200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433304200031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4556444 + ... + 16841252.

It is an arithmetic number, because the mean of its divisors is an integer number (2904608191590).

Almost surely, 2^{131433304200032} 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 131433304200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139421193196320).

131433304200032 is an abundant number, since it is smaller than the sum of its proper divisors (147409082192608).

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

131433304200032 is a wasteful number, since it uses less digits than its factorization.

131433304200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285184 (or 12285176 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 131433304200032 its reverse (230002403334131), we get a palindrome (361435707534163).

The spelling of 131433304200032 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, three hundred four million, two hundred thousand, thirty-two".