1313414360641 has 12 divisors (see below), whose sum is σ = 1429248452940. Its totient is φ = 1206004567040.

The previous prime is 1313414360627. The next prime is 1313414360663. The reversal of 1313414360641 is 1460634143131.

It can be written as a sum of positive squares in 6 ways, for example, as 197317193616 + 1116097167025 = 444204^2 + 1056455^2 .

It is not a de Polignac number, because 1313414360641 - 2⁷ = 1313414360513 is a prime.

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 1313414360641.

It is not an unprimeable number, because it can be changed into a prime (1313414367641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55411156 + ... + 55434853.

It is an arithmetic number, because the mean of its divisors is an integer number (119104037745).

Almost surely, 2^{1313414360641} is an apocalyptic number.

It is an amenable number.

1313414360641 is a deficient number, since it is larger than the sum of its proper divisors (115834092299).

1313414360641 is a wasteful number, since it uses less digits than its factorization.

1313414360641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110846084 (or 110846067 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 1313414360641 in words is "one trillion, three hundred thirteen billion, four hundred fourteen million, three hundred sixty thousand, six hundred forty-one".