1313318160 has 240 divisors, whose sum is σ = 5499112320. Its totient is φ = 272885760.

The previous prime is 1313318129. The next prime is 1313318197. The reversal of 1313318160 is 618133131.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43596 + ... + 67284.

It is an arithmetic number, because the mean of its divisors is an integer number (22912968).

Almost surely, 2^1313318160 is an apocalyptic number.

1313318160 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 1313318160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749556160).

1313318160 is an abundant number, since it is smaller than the sum of its proper divisors (4185794160).

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

1313318160 is a wasteful number, since it uses less digits than its factorization.

1313318160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23726 (or 23717 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1313318160 is about 36239.7317870869. The cubic root of 1313318160 is about 1095.1072391375.

The spelling of 1313318160 in words is "one billion, three hundred thirteen million, three hundred eighteen thousand, one hundred sixty".