1313014400 has 48 divisors (see below), whose sum is σ = 3243563790. Its totient is φ = 525204480.

The previous prime is 1313014357. The next prime is 1313014403. The reversal of 1313014400 is 44103131.

It can be written as a sum of positive squares in 3 ways, for example, as 913973824 + 399040576 = 30232^2 + 19976^2 .

It is not an unprimeable number, because it can be changed into a prime (1313014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 201959 + ... + 208358.

Almost surely, 2^1313014400 is an apocalyptic number.

1313014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313014400 is an abundant number, since it is smaller than the sum of its proper divisors (1930549390).

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

1313014400 is an equidigital number, since it uses as much as digits as its factorization.

1313014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410341 (or 410324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1313014400 is about 36235.5405644790. The cubic root of 1313014400 is about 1095.0228027750.

Adding to 1313014400 its reverse (44103131), we get a palindrome (1357117531).

The spelling of 1313014400 in words is "one billion, three hundred thirteen million, fourteen thousand, four hundred".