13112121232013 has 2 divisors, whose sum is σ = 13112121232014. Its totient is φ = 13112121232012.

The previous prime is 13112121232009. The next prime is 13112121232019. The reversal of 13112121232013 is 31023212121131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8115188546089 + 4996932685924 = 2848717^2 + 2235382^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112121232013 - 2² = 13112121232009 is a prime.

It is a super-2 number, since 2×13112121232013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13112121232013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13112121232019) 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, 6556060616006 + 6556060616007.

It is an arithmetic number, because the mean of its divisors is an integer number (6556060616007).

Almost surely, 2^{13112121232013} is an apocalyptic number.

It is an amenable number.

13112121232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112121232013 is an equidigital number, since it uses as much as digits as its factorization.

13112121232013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13112121232013 its reverse (31023212121131), we get a palindrome (44135333353144).

The spelling of 13112121232013 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thirty-two thousand, thirteen".