1311813360 has 640 divisors, whose sum is σ = 5519646720. Its totient is φ = 282009600.

The previous prime is 1311813337. The next prime is 1311813367. The reversal of 1311813360 is 633181131.

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 (1311813367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9575212 + ... + 9575348.

It is an arithmetic number, because the mean of its divisors is an integer number (8624448).

Almost surely, 2^1311813360 is an apocalyptic number.

1311813360 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 1311813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759823360).

1311813360 is an abundant number, since it is smaller than the sum of its proper divisors (4207833360).

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

1311813360 is a wasteful number, since it uses less digits than its factorization.

1311813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

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

The square root of 1311813360 is about 36218.9640934138. The cubic root of 1311813360 is about 1094.6888213163.

Adding to 1311813360 its reverse (633181131), we get a palindrome (1944994491).

The spelling of 1311813360 in words is "one billion, three hundred eleven million, eight hundred thirteen thousand, three hundred sixty".