1313163360 has 192 divisors, whose sum is σ = 4613112000. Its totient is φ = 348880896.

The previous prime is 1313163343. The next prime is 1313163361. The reversal of 1313163360 is 633613131.

1313163360 is a `hidden beast` number, since 1 + 313 + 16 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313163361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1939342 + ... + 1940018.

It is an arithmetic number, because the mean of its divisors is an integer number (24026625).

Almost surely, 2^1313163360 is an apocalyptic number.

1313163360 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 1313163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306556000).

1313163360 is an abundant number, since it is smaller than the sum of its proper divisors (3299948640).

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

1313163360 is a wasteful number, since it uses less digits than its factorization.

1313163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1313163360 is about 36237.5959467512. The cubic root of 1313163360 is about 1095.0642109090.

Adding to 1313163360 its reverse (633613131), we get a palindrome (1946776491).

The spelling of 1313163360 in words is "one billion, three hundred thirteen million, one hundred sixty-three thousand, three hundred sixty".