1316249103841 has 81 divisors (see below), whose sum is σ = 1686094603731. Its totient is φ = 1024290691200.

The previous prime is 1316249103781. The next prime is 1316249103859. The reversal of 1316249103841 is 1483019426131.

It is a happy number.

The square root of 1316249103841 is 1147279.

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

It can be written as a sum of positive squares in only one way, i.e., 1024761413025 + 291487690816 = 1012305^2 + 539896^2 .

It is not a de Polignac number, because 1316249103841 - 2²⁷ = 1316114886113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1316249103041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4232312076 + ... + 4232312386.

Almost surely, 2^{1316249103841} is an apocalyptic number.

1316249103841 is the 1147279-th square number.

1316249103841 is the 573640-th centered octagonal number.

It is an amenable number.

1316249103841 is a deficient number, since it is larger than the sum of its proper divisors (369845499890).

1316249103841 is an frugal number, since it uses more digits than its factorization.

1316249103841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1316249103841 in words is "one trillion, three hundred sixteen billion, two hundred forty-nine million, one hundred three thousand, eight hundred forty-one".