13231642032 has 320 divisors, whose sum is σ = 45757071360. Its totient is φ = 3579054336.

The previous prime is 13231642013. The next prime is 13231642037. The reversal of 13231642032 is 23024613231.

13231642032 is a `hidden beast` number, since 1 + 3 + 231 + 6 + 420 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13231641987 and 13231642005.

It is not an unprimeable number, because it can be changed into a prime (13231642037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7162933 + ... + 7164779.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 2^13231642032 is an apocalyptic number.

13231642032 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 13231642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878535680).

13231642032 is an abundant number, since it is smaller than the sum of its proper divisors (32525429328).

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

13231642032 is a wasteful number, since it uses less digits than its factorization.

13231642032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13231642032 in words is "thirteen billion, two hundred thirty-one million, six hundred forty-two thousand, thirty-two".