1313077642816 has 63 divisors (see below), whose sum is σ = 2621321821227. Its totient is φ = 652610689920.

The previous prime is 1313077642783. The next prime is 1313077642829. The reversal of 1313077642816 is 6182467703131.

The square root of 1313077642816 is 1145896.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313077642816.

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 8 ways as a sum of consecutive naturals, for example, 2080946821 + ... + 2080947451.

Almost surely, 2^{1313077642816} is an apocalyptic number.

1313077642816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1313077642816 is the 1145896-th square number.

It is an amenable number.

1313077642816 is a deficient number, since it is larger than the sum of its proper divisors (1308244178411).

1313077642816 is an frugal number, since it uses more digits than its factorization.

1313077642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 1313077642816 by its sum of digits (49), we get a square (64340804497984 = 8021272²).

The spelling of 1313077642816 in words is "one trillion, three hundred thirteen billion, seventy-seven million, six hundred forty-two thousand, eight hundred sixteen".