13313031111113 has 2 divisors, whose sum is σ = 13313031111114. Its totient is φ = 13313031111112.

The previous prime is 13313031111109. The next prime is 13313031111139. The reversal of 13313031111113 is 31111113031331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10826521575424 + 2486509535689 = 3290368^2 + 1576867^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313031111113 - 2² = 13313031111109 is a prime.

It is not a weakly prime, because it can be changed into another prime (13313031111103) 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 as a sum of consecutive naturals, namely, 6656515555556 + 6656515555557.

It is an arithmetic number, because the mean of its divisors is an integer number (6656515555557).

Almost surely, 2^{13313031111113} is an apocalyptic number.

It is an amenable number.

13313031111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313031111113 is an equidigital number, since it uses as much as digits as its factorization.

13313031111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 13313031111113 its reverse (31111113031331), we get a palindrome (44424144142444).

The spelling of 13313031111113 in words is "thirteen trillion, three hundred thirteen billion, thirty-one million, one hundred eleven thousand, one hundred thirteen".