13113113113213 has 2 divisors, whose sum is σ = 13113113113214. Its totient is φ = 13113113113212.

The previous prime is 13113113113187. The next prime is 13113113113223. The reversal of 13113113113213 is 31231131131131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12880763084484 + 232350028729 = 3588978^2 + 482027^2 .

It is an emirp because it is prime and its reverse (31231131131131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13113113113213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113113113223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556556556606 + 6556556556607.

It is an arithmetic number, because the mean of its divisors is an integer number (6556556556607).

Almost surely, 2^{13113113113213} is an apocalyptic number.

It is an amenable number.

13113113113213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113113113213 is an equidigital number, since it uses as much as digits as its factorization.

13113113113213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 25.

Adding to 13113113113213 its reverse (31231131131131), we get a palindrome (44344244244344).

The spelling of 13113113113213 in words is "thirteen trillion, one hundred thirteen billion, one hundred thirteen million, one hundred thirteen thousand, two hundred thirteen".