4113331124101 has 16 divisors (see below), whose sum is σ = 4142179602288. Its totient is φ = 4084554816000.

The previous prime is 4113331124083. The next prime is 4113331124167. The reversal of 4113331124101 is 1014211333114.

4113331124101 is digitally balanced in base 3, 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 5611508100 + 4107719616001 = 74910^2 + 2026751^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113331124101 - 2³⁵ = 4078971385733 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 (4113331124701) 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, 388008201 + ... + 388018801.

It is an arithmetic number, because the mean of its divisors is an integer number (258886225143).

Almost surely, 2^{4113331124101} is an apocalyptic number.

It is an amenable number.

4113331124101 is a deficient number, since it is larger than the sum of its proper divisors (28848478187).

4113331124101 is a wasteful number, since it uses less digits than its factorization.

4113331124101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 4113331124101 its reverse (1014211333114), we get a palindrome (5127542457215).

The spelling of 4113331124101 in words is "four trillion, one hundred thirteen billion, three hundred thirty-one million, one hundred twenty-four thousand, one hundred one".