1064013101 has 2 divisors, whose sum is σ = 1064013102. Its totient is φ = 1064013100.

The previous prime is 1064013089. The next prime is 1064013127. The reversal of 1064013101 is 1013104601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 957902500 + 106110601 = 30950^2 + 10301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1064013101 - 2⁶ = 1064013037 is a prime.

It is a super-2 number, since 2×1064013101² = 2264247758199272402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1064013101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1064013191) 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, 532006550 + 532006551.

It is an arithmetic number, because the mean of its divisors is an integer number (532006551).

Almost surely, 2^1064013101 is an apocalyptic number.

It is an amenable number.

1064013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1064013101 is an equidigital number, since it uses as much as digits as its factorization.

1064013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1064013101 is about 32619.2136784442. The cubic root of 1064013101 is about 1020.8979344611.

Adding to 1064013101 its reverse (1013104601), we get a palindrome (2077117702).

The spelling of 1064013101 in words is "one billion, sixty-four million, thirteen thousand, one hundred one".