4013120420101 has 16 divisors (see below), whose sum is σ = 4386859251264. Its totient is φ = 3648686050944.

The previous prime is 4013120420093. The next prime is 4013120420143. The reversal of 4013120420101 is 1010240213104.

4013120420101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4013120420101 - 2³ = 4013120420093 is a prime.

It is a super-2 number, since 2×4013120420101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013120420171) 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, 7008705 + ... + 7559641.

It is an arithmetic number, because the mean of its divisors is an integer number (274178703204).

Almost surely, 2^{4013120420101} is an apocalyptic number.

It is an amenable number.

4013120420101 is a deficient number, since it is larger than the sum of its proper divisors (373738831163).

4013120420101 is a wasteful number, since it uses less digits than its factorization.

4013120420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559380.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 4013120420101 its reverse (1010240213104), we get a palindrome (5023360633205).

The spelling of 4013120420101 in words is "four trillion, thirteen billion, one hundred twenty million, four hundred twenty thousand, one hundred one".