13300413121213 has 2 divisors, whose sum is σ = 13300413121214. Its totient is φ = 13300413121212.

The previous prime is 13300413121141. The next prime is 13300413121217. The reversal of 13300413121213 is 31212131400331.

13300413121213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10401573171609 + 2898839949604 = 3225147^2 + 1702598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13300413121213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300413121217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650206560606 + 6650206560607.

It is an arithmetic number, because the mean of its divisors is an integer number (6650206560607).

Almost surely, 2^{13300413121213} is an apocalyptic number.

It is an amenable number.

13300413121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300413121213 is an equidigital number, since it uses as much as digits as its factorization.

13300413121213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13300413121213 its reverse (31212131400331), we get a palindrome (44512544521544).

The spelling of 13300413121213 in words is "thirteen trillion, three hundred billion, four hundred thirteen million, one hundred twenty-one thousand, two hundred thirteen".