10317909120 has 128 divisors (see below), whose sum is σ = 33690746880. Its totient is φ = 2684313600.

The previous prime is 10317909113. The next prime is 10317909167. The reversal of 10317909120 is 2190971301.

10317909120 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 (128).

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, 13185 + ... + 144255.

It is an arithmetic number, because the mean of its divisors is an integer number (263208960).

Almost surely, 2^10317909120 is an apocalyptic number.

10317909120 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 10317909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845373440).

10317909120 is an abundant number, since it is smaller than the sum of its proper divisors (23372837760).

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

10317909120 is a wasteful number, since it uses less digits than its factorization.

10317909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131134 (or 131122 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The spelling of 10317909120 in words is "ten billion, three hundred seventeen million, nine hundred nine thousand, one hundred twenty".