1313381440 has 112 divisors (see below), whose sum is σ = 3584886912. Its totient is φ = 448966656.

The previous prime is 1313381429. The next prime is 1313381497. The reversal of 1313381440 is 441833131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1313381399 and 1313381408.

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 15 ways as a sum of consecutive naturals, for example, 1023039 + ... + 1024321.

Almost surely, 2^1313381440 is an apocalyptic number.

1313381440 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 1313381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792443456).

1313381440 is an abundant number, since it is smaller than the sum of its proper divisors (2271505472).

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

1313381440 is a wasteful number, since it uses less digits than its factorization.

1313381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1313381440 is about 36240.6048514646. The cubic root of 1313381440 is about 1095.1248274811.

The spelling of 1313381440 in words is "one billion, three hundred thirteen million, three hundred eighty-one thousand, four hundred forty".