10032331041 has 12 divisors (see below), whose sum is σ = 14844587940. Its totient is φ = 6525093120.

The previous prime is 10032331033. The next prime is 10032331063. The reversal of 10032331041 is 14013323001.

10032331041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4775501025 + 5256830016 = 69105^2 + 72504^2 .

It is not a de Polignac number, because 10032331041 - 2³ = 10032331033 is a prime.

It is a super-2 number, since 2×10032331041² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032331081) 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 11 ways as a sum of consecutive naturals, for example, 13593576 + ... + 13594313.

It is an arithmetic number, because the mean of its divisors is an integer number (1237048995).

Almost surely, 2^10032331041 is an apocalyptic number.

It is an amenable number.

10032331041 is a deficient number, since it is larger than the sum of its proper divisors (4812256899).

10032331041 is a wasteful number, since it uses less digits than its factorization.

10032331041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27187936 (or 27187933 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10032331041 its reverse (14013323001), we get a palindrome (24045654042).

The spelling of 10032331041 in words is "ten billion, thirty-two million, three hundred thirty-one thousand, forty-one".