4113001001105 has 16 divisors (see below), whose sum is σ = 4977093648384. Its totient is φ = 3262847862720.

The previous prime is 4113001001099. The next prime is 4113001001111. The reversal of 4113001001105 is 5011001003114.

It is an interprime number because it is at equal distance from previous prime (4113001001099) and next prime (4113001001111).

It is a de Polignac number, because none of the positive numbers 2^k-4113001001105 is a prime.

It is a super-2 number, since 2×4113001001105² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6490337 + ... + 7095806.

It is an arithmetic number, because the mean of its divisors is an integer number (311068353024).

Almost surely, 2^{4113001001105} is an apocalyptic number.

It is an amenable number.

4113001001105 is a deficient number, since it is larger than the sum of its proper divisors (864092647279).

4113001001105 is a wasteful number, since it uses less digits than its factorization.

4113001001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586656.

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 4113001001105 its reverse (5011001003114), we get a palindrome (9124002004219).

The spelling of 4113001001105 in words is "four trillion, one hundred thirteen billion, one million, one thousand, one hundred five".