1313361576720 has 80 divisors (see below), whose sum is σ = 4523800993920. Its totient is φ = 350229753216.

The previous prime is 1313361576719. The next prime is 1313361576803. The reversal of 1313361576720 is 276751633131.

1313361576720 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 6 + 1 + 576 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 304016724 + ... + 304021043.

It is an arithmetic number, because the mean of its divisors is an integer number (56547512424).

Almost surely, 2^{1313361576720} is an apocalyptic number.

1313361576720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313361576720 is an abundant number, since it is smaller than the sum of its proper divisors (3210439417200).

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

1313361576720 is a wasteful number, since it uses less digits than its factorization.

1313361576720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608037789 (or 608037777 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1313361576720 in words is "one trillion, three hundred thirteen billion, three hundred sixty-one million, five hundred seventy-six thousand, seven hundred twenty".