32431131200000 has 960 divisors, whose sum is σ = 94649382739296. Its totient is φ = 10990387200000.

The previous prime is 32431131199931. The next prime is 32431131200003. The reversal of 32431131200000 is 213113423.

It can be written as a sum of positive squares in 48 ways, for example, as 31854916608256 + 576214591744 = 5644016^2 + 759088^2 .

It is a super-2 number, since 2×32431131200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32431131200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14497598882 + ... + 14497601118.

Almost surely, 2^{32431131200000} 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 32431131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47324691369648).

32431131200000 is an abundant number, since it is smaller than the sum of its proper divisors (62218251539296).

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

32431131200000 is an equidigital number, since it uses as much as digits as its factorization.

32431131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32431131200000 its reverse (213113423), we get a palindrome (32431344313423).

The spelling of 32431131200000 in words is "thirty-two trillion, four hundred thirty-one billion, one hundred thirty-one million, two hundred thousand".