4013340101 has 16 divisors (see below), whose sum is σ = 4110238080. Its totient is φ = 3917844480.

The previous prime is 4013340091. The next prime is 4013340103. The reversal of 4013340101 is 1010433104.

4013340101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4013340101 - 2²² = 4009145797 is a prime.

It is a super-2 number, since 2×4013340101² = 32213797532589380402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4013340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013340103) 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, 5875706 + ... + 5876388.

It is an arithmetic number, because the mean of its divisors is an integer number (256889880).

Almost surely, 2^4013340101 is an apocalyptic number.

It is an amenable number.

4013340101 is a deficient number, since it is larger than the sum of its proper divisors (96897979).

4013340101 is a wasteful number, since it uses less digits than its factorization.

4013340101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4013340101 is about 63350.9281778886. The cubic root of 4013340101 is about 1589.1637680472.

Adding to 4013340101 its reverse (1010433104), we get a palindrome (5023773205).

The spelling of 4013340101 in words is "four billion, thirteen million, three hundred forty thousand, one hundred one".