10032320132320 has 192 divisors, whose sum is σ = 25721828536320. Its totient is φ = 3687432173568.

The previous prime is 10032320132309. The next prime is 10032320132333. The reversal of 10032320132320 is 2323102323001.

It is a junction number, because it is equal to n+sod(n) for n = 10032320132291 and 10032320132300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10290309 + ... + 11222971.

It is an arithmetic number, because the mean of its divisors is an integer number (133967856960).

Almost surely, 2^{10032320132320} is an apocalyptic number.

10032320132320 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 10032320132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860914268160).

10032320132320 is an abundant number, since it is smaller than the sum of its proper divisors (15689508404000).

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

10032320132320 is a wasteful number, since it uses less digits than its factorization.

10032320132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932817 (or 932809 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10032320132320 its reverse (2323102323001), we get a palindrome (12355422455321).

The spelling of 10032320132320 in words is "ten trillion, thirty-two billion, three hundred twenty million, one hundred thirty-two thousand, three hundred twenty".