32331210132132 has 240 divisors, whose sum is σ = 86834463851520. Its totient is φ = 10484074254528.

The previous prime is 32331210132121. The next prime is 32331210132167. The reversal of 32331210132132 is 23123101213323.

32331210132132 is a `hidden beast` number, since 3 + 2 + 331 + 2 + 1 + 0 + 1 + 321 + 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 = 32331210132096 and 32331210132105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4536436753 + ... + 4536443879.

It is an arithmetic number, because the mean of its divisors is an integer number (361810266048).

Almost surely, 2^{32331210132132} 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 32331210132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43417231925760).

32331210132132 is an abundant number, since it is smaller than the sum of its proper divisors (54503253719388).

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

32331210132132 is a wasteful number, since it uses less digits than its factorization.

32331210132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32331210132132 its reverse (23123101213323), we get a palindrome (55454311345455).

The spelling of 32331210132132 in words is "thirty-two trillion, three hundred thirty-one billion, two hundred ten million, one hundred thirty-two thousand, one hundred thirty-two".