4113314101 has 16 divisors (see below), whose sum is σ = 4692918384. Its totient is φ = 3571559424.

The previous prime is 4113314077. The next prime is 4113314111. The reversal of 4113314101 is 1014133114.

4113314101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26780625 + 4086533476 = 5175^2 + 63926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4113314101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113314111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502695 + ... + 510811.

It is an arithmetic number, because the mean of its divisors is an integer number (293307399).

Almost surely, 2^4113314101 is an apocalyptic number.

It is an amenable number.

4113314101 is a deficient number, since it is larger than the sum of its proper divisors (579604283).

4113314101 is a wasteful number, since it uses less digits than its factorization.

4113314101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4113314101 is about 64135.1237700529. The cubic root of 4113314101 is about 1602.2512711102.

Adding to 4113314101 its reverse (1014133114), we get a palindrome (5127447215).

The spelling of 4113314101 in words is "four billion, one hundred thirteen million, three hundred fourteen thousand, one hundred one".