10113144124041 has 30 divisors (see below), whose sum is σ = 17573785601130. Its totient is φ = 5778939497184.

The previous prime is 10113144124007. The next prime is 10113144124073. The reversal of 10113144124041 is 14042144131101.

10113144124041 is a `hidden beast` number, since 1 + 0 + 113 + 144 + 1 + 2 + 404 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7430100124041 + 2683044000000 = 2725821^2 + 1638000^2 .

It is not a de Polignac number, because 10113144124041 - 2⁹ = 10113144123529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10113144123996 and 10113144124014.

It is not an unprimeable number, because it can be changed into a prime (10113144124001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1274012676 + ... + 1274020613.

It is an arithmetic number, because the mean of its divisors is an integer number (585792853371).

Almost surely, 2^{10113144124041} is an apocalyptic number.

It is an amenable number.

10113144124041 is a deficient number, since it is larger than the sum of its proper divisors (7460641477089).

10113144124041 is an equidigital number, since it uses as much as digits as its factorization.

10113144124041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548033315 (or 2548033299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10113144124041 its reverse (14042144131101), we get a palindrome (24155288255142).

The spelling of 10113144124041 in words is "ten trillion, one hundred thirteen billion, one hundred forty-four million, one hundred twenty-four thousand, forty-one".