13134416641 has 2 divisors, whose sum is σ = 13134416642. Its totient is φ = 13134416640.

The previous prime is 13134416579. The next prime is 13134416677. The reversal of 13134416641 is 14661443131.

13134416641 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., 13133160000 + 1256641 = 114600^2 + 1121^2 .

It is a cyclic number.

It is not a de Polignac number, because 13134416641 - 2⁷ = 13134416513 is a prime.

It is a super-3 number, since 3×13134416641³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13134416597 and 13134416606.

It is not a weakly prime, because it can be changed into another prime (13134416341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567208320 + 6567208321.

It is an arithmetic number, because the mean of its divisors is an integer number (6567208321).

Almost surely, 2^13134416641 is an apocalyptic number.

It is an amenable number.

13134416641 is a deficient number, since it is larger than the sum of its proper divisors (1).

13134416641 is an equidigital number, since it uses as much as digits as its factorization.

13134416641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 34.

Adding to 13134416641 its reverse (14661443131), we get a palindrome (27795859772).

The spelling of 13134416641 in words is "thirteen billion, one hundred thirty-four million, four hundred sixteen thousand, six hundred forty-one".