32132313000 has 192 divisors, whose sum is σ = 108746511120. Its totient is φ = 8557632000.

The previous prime is 32132312977. The next prime is 32132313007. The reversal of 32132313000 is 31323123.

32132313000 is a `hidden beast` number, since 321 + 32 + 313 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10429719876 + 21702593124 = 102126^2 + 147318^2 .

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 (32132313007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8971210 + ... + 8974790.

Almost surely, 2^32132313000 is an apocalyptic number.

32132313000 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 32132313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54373255560).

32132313000 is an abundant number, since it is smaller than the sum of its proper divisors (76614198120).

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

32132313000 is a wasteful number, since it uses less digits than its factorization.

32132313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4588 counting only the distinct ones).

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

Adding to 32132313000 its reverse (31323123), we get a palindrome (32163636123).

The spelling of 32132313000 in words is "thirty-two billion, one hundred thirty-two million, three hundred thirteen thousand".