131115310022032 has 160 divisors (see below), whose sum is σ = 293579844687360. Its totient is φ = 55567295447040.

The previous prime is 131115310022003. The next prime is 131115310022071. The reversal of 131115310022032 is 230220013511131.

It is a junction number, because it is equal to n+sod(n) for n = 131115310021988 and 131115310022006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221924944 + ... + 2221983952.

It is an arithmetic number, because the mean of its divisors is an integer number (1834874029296).

Almost surely, 2^{131115310022032} 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 131115310022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146789922343680).

131115310022032 is an abundant number, since it is smaller than the sum of its proper divisors (162464534665328).

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

131115310022032 is a wasteful number, since it uses less digits than its factorization.

131115310022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59841 (or 59835 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131115310022032 its reverse (230220013511131), we get a palindrome (361335323533163).

The spelling of 131115310022032 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred ten million, twenty-two thousand, thirty-two".