4013113303313 has 2 divisors, whose sum is σ = 4013113303314. Its totient is φ = 4013113303312.

The previous prime is 4013113303261. The next prime is 4013113303363. The reversal of 4013113303313 is 3133033113104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3924471936784 + 88641366529 = 1981028^2 + 297727^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013113303313 - 2²⁰ = 4013112254737 is a prime.

It is a super-2 number, since 2×4013113303313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013113303363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006556651656 + 2006556651657.

It is an arithmetic number, because the mean of its divisors is an integer number (2006556651657).

Almost surely, 2^{4013113303313} is an apocalyptic number.

It is an amenable number.

4013113303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013113303313 is an equidigital number, since it uses as much as digits as its factorization.

4013113303313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 4013113303313 its reverse (3133033113104), we get a palindrome (7146146416417).

The spelling of 4013113303313 in words is "four trillion, thirteen billion, one hundred thirteen million, three hundred three thousand, three hundred thirteen".