32131332000000 has 756 divisors, whose sum is σ = 116961492483108. Its totient is φ = 8482560000000.

The previous prime is 32131331999999. The next prime is 32131332000007. The reversal of 32131332000000 is 23313123.

32131332000000 is a `hidden beast` number, since 32 + 1 + 313 + 320 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 30173839997184 + 1957492002816 = 5493072^2 + 1399104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32131332000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3635995582 + ... + 3636004418.

It is an arithmetic number, because the mean of its divisors is an integer number (154710968893).

Almost surely, 2^{32131332000000} is an apocalyptic number.

32131332000000 is a gapful number since it is divisible by the number (30) 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 32131332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58480746241554).

32131332000000 is an abundant number, since it is smaller than the sum of its proper divisors (84830160483108).

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

32131332000000 is an frugal number, since it uses more digits than its factorization.

32131332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32131332000000 its reverse (23313123), we get a palindrome (32131355313123).

The spelling of 32131332000000 in words is "thirty-two trillion, one hundred thirty-one billion, three hundred thirty-two million", and thus it is an aban number.