10321133971200 has 432 divisors, whose sum is σ = 36784535639040. Its totient is φ = 2533487984640.

The previous prime is 10321133971117. The next prime is 10321133971201. The reversal of 10321133971200 is 217933112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321133971201) 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, 89548809 + ... + 89663991.

Almost surely, 2^{10321133971200} is an apocalyptic number.

10321133971200 is a gapful number since it is divisible by the number (10) 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 10321133971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392267819520).

10321133971200 is an abundant number, since it is smaller than the sum of its proper divisors (26463401667840).

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

10321133971200 is a wasteful number, since it uses less digits than its factorization.

10321133971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115584 (or 115565 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 10321133971200 in words is "ten trillion, three hundred twenty-one billion, one hundred thirty-three million, nine hundred seventy-one thousand, two hundred".