10004213050441 has 2 divisors, whose sum is σ = 10004213050442. Its totient is φ = 10004213050440.

The previous prime is 10004213050439. The next prime is 10004213050541. The reversal of 10004213050441 is 14405031240001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9060942819600 + 943270230841 = 3010140^2 + 971221^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004213050441 - 2¹ = 10004213050439 is a prime.

It is a super-2 number, since 2×10004213050441² (a number of 27 digits) contains 22 as substring.

Together with 10004213050439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10004213050541) 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 as a sum of consecutive naturals, namely, 5002106525220 + 5002106525221.

It is an arithmetic number, because the mean of its divisors is an integer number (5002106525221).

Almost surely, 2^{10004213050441} is an apocalyptic number.

It is an amenable number.

10004213050441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004213050441 is an equidigital number, since it uses as much as digits as its factorization.

10004213050441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10004213050441 its reverse (14405031240001), we get a palindrome (24409244290442).

The spelling of 10004213050441 in words is "ten trillion, four billion, two hundred thirteen million, fifty thousand, four hundred forty-one".