32133302102000 has 320 divisors, whose sum is σ = 85076954726400. Its totient is φ = 11641479680000.

The previous prime is 32133302101987. The next prime is 32133302102021. The reversal of 32133302102000 is 20120333123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7576819880 + ... + 7576824120.

It is an arithmetic number, because the mean of its divisors is an integer number (265865483520).

Almost surely, 2^{32133302102000} 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 32133302102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42538477363200).

32133302102000 is an abundant number, since it is smaller than the sum of its proper divisors (52943652624400).

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

32133302102000 is a wasteful number, since it uses less digits than its factorization.

32133302102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32133302102000 its reverse (20120333123), we get a palindrome (32153422435123).

The spelling of 32133302102000 in words is "thirty-two trillion, one hundred thirty-three billion, three hundred two million, one hundred two thousand".