8313733120 has 256 divisors, whose sum is σ = 24913785600. Its totient is φ = 2587361280.

The previous prime is 8313733073. The next prime is 8313733121. The reversal of 8313733120 is 213373138.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8313733121) 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, 12615351 + ... + 12616009.

It is an arithmetic number, because the mean of its divisors is an integer number (97319475).

Almost surely, 2^8313733120 is an apocalyptic number.

8313733120 is a gapful number since it is divisible by the number (80) 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 8313733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456892800).

8313733120 is an abundant number, since it is smaller than the sum of its proper divisors (16600052480).

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

8313733120 is an equidigital number, since it uses as much as digits as its factorization.

8313733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 8313733120 is about 91179.6749281330. The cubic root of 8313733120 is about 2025.8099179571.

The spelling of 8313733120 in words is "eight billion, three hundred thirteen million, seven hundred thirty-three thousand, one hundred twenty".