4066013101 has 2 divisors, whose sum is σ = 4066013102. Its totient is φ = 4066013100.

The previous prime is 4066013093. The next prime is 4066013183. The reversal of 4066013101 is 1013106604.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2223028201 + 1842984900 = 47149^2 + 42930^2 .

It is a cyclic number.

It is not a de Polignac number, because 4066013101 - 2³ = 4066013093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4066013201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2033006550 + 2033006551.

It is an arithmetic number, because the mean of its divisors is an integer number (2033006551).

Almost surely, 2^4066013101 is an apocalyptic number.

It is an amenable number.

4066013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4066013101 is an equidigital number, since it uses as much as digits as its factorization.

4066013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4066013101 is about 63765.2969960934. The cubic root of 4066013101 is about 1596.0858884993.

Adding to 4066013101 its reverse (1013106604), we get a palindrome (5079119705).

The spelling of 4066013101 in words is "four billion, sixty-six million, thirteen thousand, one hundred one".