1313813760 has 288 divisors, whose sum is σ = 4928754432. Its totient is φ = 291962880.

The previous prime is 1313813713. The next prime is 1313813773. The reversal of 1313813760 is 673183131.

It is a super-2 number, since 2×1313813760² = 3452213191930675200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 993900 + ... + 995220.

Almost surely, 2^1313813760 is an apocalyptic number.

1313813760 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 1313813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464377216).

1313813760 is an abundant number, since it is smaller than the sum of its proper divisors (3614940672).

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

1313813760 is a wasteful number, since it uses less digits than its factorization.

1313813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1313813760 is about 36246.5689410736. The cubic root of 1313813760 is about 1095.2449734426.

Adding to 1313813760 its reverse (673183131), we get a palindrome (1986996891).

The spelling of 1313813760 in words is "one billion, three hundred thirteen million, eight hundred thirteen thousand, seven hundred sixty".