10034331030041 has 16 divisors (see below), whose sum is σ = 10993142532240. Its totient is φ = 9116600156160.

The previous prime is 10034331029969. The next prime is 10034331030043. The reversal of 10034331030041 is 14003013343001.

It can be written as a sum of positive squares in 8 ways, for example, as 784338725641 + 9249992304400 = 885629^2 + 3041380^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034331030041 - 2³⁰ = 10033257288217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034331029989 and 10034331030016.

It is not an unprimeable number, because it can be changed into a prime (10034331030043) 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 15 ways as a sum of consecutive naturals, for example, 448505 + ... + 4502201.

It is an arithmetic number, because the mean of its divisors is an integer number (687071408265).

Almost surely, 2^{10034331030041} is an apocalyptic number.

It is an amenable number.

10034331030041 is a deficient number, since it is larger than the sum of its proper divisors (958811502199).

10034331030041 is a wasteful number, since it uses less digits than its factorization.

10034331030041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058764.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10034331030041 its reverse (14003013343001), we get a palindrome (24037344373042).

The spelling of 10034331030041 in words is "ten trillion, thirty-four billion, three hundred thirty-one million, thirty thousand, forty-one".