13113322110013 has 2 divisors, whose sum is σ = 13113322110014. Its totient is φ = 13113322110012.

The previous prime is 13113322109989. The next prime is 13113322110023. The reversal of 13113322110013 is 31001122331131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12979396852249 + 133925257764 = 3602693^2 + 365958^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113322110013 - 2¹³ = 13113322101821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113322110023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556661055006 + 6556661055007.

It is an arithmetic number, because the mean of its divisors is an integer number (6556661055007).

Almost surely, 2^{13113322110013} is an apocalyptic number.

It is an amenable number.

13113322110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113322110013 is an equidigital number, since it uses as much as digits as its factorization.

13113322110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13113322110013 its reverse (31001122331131), we get a palindrome (44114444441144).

The spelling of 13113322110013 in words is "thirteen trillion, one hundred thirteen billion, three hundred twenty-two million, one hundred ten thousand, thirteen".