4013122345101 has 24 divisors (see below), whose sum is σ = 5882341622976. Its totient is φ = 2635953727680.

The previous prime is 4013122345093. The next prime is 4013122345139. The reversal of 4013122345101 is 1015432213104.

4013122345101 is a `hidden beast` number, since 4 + 0 + 1 + 312 + 2 + 345 + 1 + 0 + 1 = 666.

4013122345101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4013122345101 - 2³ = 4013122345093 is a prime.

It is a super-2 number, since 2×4013122345101² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013122845101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169800 + ... + 3065073.

It is an arithmetic number, because the mean of its divisors is an integer number (245097567624).

Almost surely, 2^{4013122345101} is an apocalyptic number.

It is an amenable number.

4013122345101 is a deficient number, since it is larger than the sum of its proper divisors (1869219277875).

4013122345101 is a wasteful number, since it uses less digits than its factorization.

4013122345101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236433 (or 4236430 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 4013122345101 its reverse (1015432213104), we get a palindrome (5028554558205).

The spelling of 4013122345101 in words is "four trillion, thirteen billion, one hundred twenty-two million, three hundred forty-five thousand, one hundred one".