10634544013 has 2 divisors, whose sum is σ = 10634544014. Its totient is φ = 10634544012.

The previous prime is 10634544001. The next prime is 10634544023. The reversal of 10634544013 is 31044543601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10023613924 + 610930089 = 100118^2 + 24717^2 .

It is an emirp because it is prime and its reverse (31044543601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10634544013 - 2¹⁷ = 10634412941 is a prime.

It is a super-2 number, since 2×10634544013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10634544023) 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, 5317272006 + 5317272007.

It is an arithmetic number, because the mean of its divisors is an integer number (5317272007).

Almost surely, 2^10634544013 is an apocalyptic number.

It is an amenable number.

10634544013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634544013 is an equidigital number, since it uses as much as digits as its factorization.

10634544013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 10634544013 in words is "ten billion, six hundred thirty-four million, five hundred forty-four thousand, thirteen".