1313509514880 has 128 divisors (see below), whose sum is σ = 4239809683200. Its totient is φ = 345835376640.

The previous prime is 1313509514827. The next prime is 1313509514893. The reversal of 1313509514880 is 884159053131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4178191 + ... + 4481550.

It is an arithmetic number, because the mean of its divisors is an integer number (33123513150).

Almost surely, 2^{1313509514880} is an apocalyptic number.

1313509514880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313509514880 is an abundant number, since it is smaller than the sum of its proper divisors (2926300168320).

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

1313509514880 is an equidigital number, since it uses as much as digits as its factorization.

1313509514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659842 (or 8659830 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 1313509514880 in words is "one trillion, three hundred thirteen billion, five hundred nine million, five hundred fourteen thousand, eight hundred eighty".