10434144013 has 2 divisors, whose sum is σ = 10434144014. Its totient is φ = 10434144012.

The previous prime is 10434144011. The next prime is 10434144053. The reversal of 10434144013 is 31044143401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10224849924 + 209294089 = 101118^2 + 14467^2 .

It is an emirp because it is prime and its reverse (31044143401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10434144013 - 2¹ = 10434144011 is a prime.

It is a super-2 number, since 2×10434144013² (a number of 21 digits) contains 22 as substring.

Together with 10434144011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10434144011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5217072006 + 5217072007.

It is an arithmetic number, because the mean of its divisors is an integer number (5217072007).

Almost surely, 2^10434144013 is an apocalyptic number.

It is an amenable number.

10434144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10434144013 is an equidigital number, since it uses as much as digits as its factorization.

10434144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10434144013 its reverse (31044143401), we get a palindrome (41478287414).

The spelling of 10434144013 in words is "ten billion, four hundred thirty-four million, one hundred forty-four thousand, thirteen".