1313307040 has 96 divisors (see below), whose sum is σ = 3157736400. Its totient is φ = 516096000.

The previous prime is 1313307031. The next prime is 1313307097. The reversal of 1313307040 is 407033131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 575424144 + 737882896 = 23988^2 + 27164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924736 + ... + 2925184.

Almost surely, 2^1313307040 is an apocalyptic number.

1313307040 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 1313307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578868200).

1313307040 is an abundant number, since it is smaller than the sum of its proper divisors (1844429360).

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

1313307040 is a wasteful number, since it uses less digits than its factorization.

1313307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 1313307040 is about 36239.5783639931. The cubic root of 1313307040 is about 1095.1041483335.

The spelling of 1313307040 in words is "one billion, three hundred thirteen million, three hundred seven thousand, forty".