131331133321332 has 96 divisors (see below), whose sum is σ = 352399805635584. Its totient is φ = 37289285452800.

The previous prime is 131331133321279. The next prime is 131331133321357. The reversal of 131331133321332 is 233123331133131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131331133321293 and 131331133321302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139339332 + ... + 140278692.

It is an arithmetic number, because the mean of its divisors is an integer number (3670831308704).

Almost surely, 2^{131331133321332} is an apocalyptic number.

131331133321332 is a gapful number since it is divisible by the number (12) 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 131331133321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176199902817792).

131331133321332 is an abundant number, since it is smaller than the sum of its proper divisors (221068672314252).

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

131331133321332 is a wasteful number, since it uses less digits than its factorization.

131331133321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949749 (or 949747 counting only the distinct ones).

The product of its digits is 26244, while the sum is 33.

Adding to 131331133321332 its reverse (233123331133131), we get a palindrome (364454464454463).

The spelling of 131331133321332 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty-two".