10041211131 has 32 divisors (see below), whose sum is σ = 16081121280. Its totient is φ = 5448842784.

The previous prime is 10041211129. The next prime is 10041211151. The reversal of 10041211131 is 13111214001.

10041211131 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 10041211131 - 2¹ = 10041211129 is a prime.

It is a super-2 number, since 2×10041211131² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10041211131.

It is not an unprimeable number, because it can be changed into a prime (10041211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7645 + ... + 141918.

It is an arithmetic number, because the mean of its divisors is an integer number (502535040).

Almost surely, 2^10041211131 is an apocalyptic number.

10041211131 is a deficient number, since it is larger than the sum of its proper divisors (6039910149).

10041211131 is a wasteful number, since it uses less digits than its factorization.

10041211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149735.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10041211131 its reverse (13111214001), we get a palindrome (23152425132).

The spelling of 10041211131 in words is "ten billion, forty-one million, two hundred eleven thousand, one hundred thirty-one".