10011144431041 has 16 divisors (see below), whose sum is σ = 10841831501760. Its totient is φ = 9189117881280.

The previous prime is 10011144431039. The next prime is 10011144431069. The reversal of 10011144431041 is 14013444111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10011144431041 - 2¹ = 10011144431039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011144430997 and 10011144431015.

It is not an unprimeable number, because it can be changed into a prime (10011144491041) 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, 94802731 + ... + 94908271.

It is an arithmetic number, because the mean of its divisors is an integer number (677614468860).

Almost surely, 2^{10011144431041} is an apocalyptic number.

It is an amenable number.

10011144431041 is a deficient number, since it is larger than the sum of its proper divisors (830687070719).

10011144431041 is a wasteful number, since it uses less digits than its factorization.

10011144431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146496.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10011144431041 its reverse (14013444111001), we get a palindrome (24024588542042).

The spelling of 10011144431041 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred thirty-one thousand, forty-one".