4135814101 has 2 divisors, whose sum is σ = 4135814102. Its totient is φ = 4135814100.

The previous prime is 4135814093. The next prime is 4135814117. The reversal of 4135814101 is 1014185314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3878051076 + 257763025 = 62274^2 + 16055^2 .

It is a cyclic number.

It is not a de Polignac number, because 4135814101 - 2³ = 4135814093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135814101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4135814401) 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, 2067907050 + 2067907051.

It is an arithmetic number, because the mean of its divisors is an integer number (2067907051).

Almost surely, 2^4135814101 is an apocalyptic number.

It is an amenable number.

4135814101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135814101 is an equidigital number, since it uses as much as digits as its factorization.

4135814101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 4135814101 is about 64310.2954510396. The cubic root of 4135814101 is about 1605.1674208690.

Adding to 4135814101 its reverse (1014185314), we get a palindrome (5149999415).

The spelling of 4135814101 in words is "four billion, one hundred thirty-five million, eight hundred fourteen thousand, one hundred one".