32133213000 has 1024 divisors, whose sum is σ = 137641420800. Its totient is φ = 6768230400.

The previous prime is 32133212987. The next prime is 32133213043. The reversal of 32133213000 is 31233123.

32133213000 is a `hidden beast` number, since 32 + 1 + 332 + 1 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 234548932 + ... + 234549068.

It is an arithmetic number, because the mean of its divisors is an integer number (134415450).

Almost surely, 2^32133213000 is an apocalyptic number.

32133213000 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 32133213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68820710400).

32133213000 is an abundant number, since it is smaller than the sum of its proper divisors (105508207800).

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

32133213000 is a wasteful number, since it uses less digits than its factorization.

32133213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

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

Adding to 32133213000 its reverse (31233123), we get a palindrome (32164446123).

The spelling of 32133213000 in words is "thirty-two billion, one hundred thirty-three million, two hundred thirteen thousand".