1313444004041 has 16 divisors (see below), whose sum is σ = 1437166463376. Its totient is φ = 1193039456256.

The previous prime is 1313444004031. The next prime is 1313444004043. The reversal of 1313444004041 is 1404004443131.

It can be written as a sum of positive squares in 8 ways, for example, as 148555514041 + 1164888490000 = 385429^2 + 1079300^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313444004041 - 2¹⁴ = 1313443987657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313444003995 and 1313444004013.

It is not an unprimeable number, because it can be changed into a prime (1313444004043) 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 15 ways as a sum of consecutive naturals, for example, 1187270 + ... + 2009103.

It is an arithmetic number, because the mean of its divisors is an integer number (89822903961).

Almost surely, 2^{1313444004041} is an apocalyptic number.

It is an amenable number.

1313444004041 is a deficient number, since it is larger than the sum of its proper divisors (123722459335).

1313444004041 is a wasteful number, since it uses less digits than its factorization.

1313444004041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196892.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1313444004041 its reverse (1404004443131), we get a palindrome (2717448447172).

The spelling of 1313444004041 in words is "one trillion, three hundred thirteen billion, four hundred forty-four million, four thousand, forty-one".