1313117568 has 384 divisors, whose sum is σ = 4627633920. Its totient is φ = 362797056.

The previous prime is 1313117549. The next prime is 1313117581. The reversal of 1313117568 is 8657113131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8055855 + ... + 8056017.

It is an arithmetic number, because the mean of its divisors is an integer number (12051130).

Almost surely, 2^1313117568 is an apocalyptic number.

1313117568 is a gapful number since it is divisible by the number (18) 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 1313117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313816960).

1313117568 is an abundant number, since it is smaller than the sum of its proper divisors (3314516352).

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

1313117568 is an equidigital number, since it uses as much as digits as its factorization.

1313117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1313117568 is about 36236.9641112497. The cubic root of 1313117568 is about 1095.0514819105.

The spelling of 1313117568 in words is "one billion, three hundred thirteen million, one hundred seventeen thousand, five hundred sixty-eight".