10332103213120 has 112 divisors (see below), whose sum is σ = 26513646591600. Its totient is φ = 3812372914176.

The previous prime is 10332103213111. The next prime is 10332103213127. The reversal of 10332103213120 is 2131230123301.

It can be written as a sum of positive squares in 8 ways, for example, as 149979601984 + 10182123611136 = 387272^2 + 3190944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10332103213091 and 10332103213100.

It is not an unprimeable number, because it can be changed into a prime (10332103213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5379106 + ... + 7042654.

It is an arithmetic number, because the mean of its divisors is an integer number (236728987425).

Almost surely, 2^{10332103213120} is an apocalyptic number.

10332103213120 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 10332103213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256823295800).

10332103213120 is an abundant number, since it is smaller than the sum of its proper divisors (16181543378480).

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

10332103213120 is a wasteful number, since it uses less digits than its factorization.

10332103213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665072 (or 1665062 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10332103213120 its reverse (2131230123301), we get a palindrome (12463333336421).

The spelling of 10332103213120 in words is "ten trillion, three hundred thirty-two billion, one hundred three million, two hundred thirteen thousand, one hundred twenty".