10013210320 has 80 divisors (see below), whose sum is σ = 23529654720. Its totient is φ = 3962649600.

The previous prime is 10013210299. The next prime is 10013210369. The reversal of 10013210320 is 2301231001.

10013210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10013210320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970660 + ... + 3973180.

It is an arithmetic number, because the mean of its divisors is an integer number (294120684).

Almost surely, 2^10013210320 is an apocalyptic number.

10013210320 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 10013210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764827360).

10013210320 is an abundant number, since it is smaller than the sum of its proper divisors (13516444400).

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

10013210320 is a wasteful number, since it uses less digits than its factorization.

10013210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10013210320 its reverse (2301231001), we get a palindrome (12314441321).

The spelling of 10013210320 in words is "ten billion, thirteen million, two hundred ten thousand, three hundred twenty".