13121210300113 has 2 divisors, whose sum is σ = 13121210300114. Its totient is φ = 13121210300112.

The previous prime is 13121210300057. The next prime is 13121210300147. The reversal of 13121210300113 is 31100301212131.

13121210300113 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., 10730918052864 + 2390292247249 = 3275808^2 + 1546057^2 .

It is an emirp because it is prime and its reverse (31100301212131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13121210300113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13121210300213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560605150056 + 6560605150057.

It is an arithmetic number, because the mean of its divisors is an integer number (6560605150057).

Almost surely, 2^{13121210300113} is an apocalyptic number.

It is an amenable number.

13121210300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121210300113 is an equidigital number, since it uses as much as digits as its factorization.

13121210300113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13121210300113 its reverse (31100301212131), we get a palindrome (44221511512244).

The spelling of 13121210300113 in words is "thirteen trillion, one hundred twenty-one billion, two hundred ten million, three hundred thousand, one hundred thirteen".