32113312000 has 288 divisors, whose sum is σ = 99745761024. Its totient is φ = 10008576000.

The previous prime is 32113311961. The next prime is 32113312003. The reversal of 32113312000 is 21331123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32113312003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457484 + ... + 2470516.

It is an arithmetic number, because the mean of its divisors is an integer number (346339448).

Almost surely, 2^32113312000 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 32113312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49872880512).

32113312000 is an abundant number, since it is smaller than the sum of its proper divisors (67632449024).

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

32113312000 is a wasteful number, since it uses less digits than its factorization.

32113312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 32113312000 its reverse (21331123), we get a palindrome (32134643123).

The spelling of 32113312000 in words is "thirty-two billion, one hundred thirteen million, three hundred twelve thousand".