10004431112321 has 2 divisors, whose sum is σ = 10004431112322. Its totient is φ = 10004431112320.

The previous prime is 10004431112303. The next prime is 10004431112323. The reversal of 10004431112321 is 12321113440001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7465791169600 + 2538639942721 = 2732360^2 + 1593311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004431112321 - 2³⁸ = 9729553205377 is a prime.

Together with 10004431112323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10004431112323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002215556160 + 5002215556161.

It is an arithmetic number, because the mean of its divisors is an integer number (5002215556161).

Almost surely, 2^{10004431112321} is an apocalyptic number.

It is an amenable number.

10004431112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004431112321 is an equidigital number, since it uses as much as digits as its factorization.

10004431112321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10004431112321 its reverse (12321113440001), we get a palindrome (22325544552322).

The spelling of 10004431112321 in words is "ten trillion, four billion, four hundred thirty-one million, one hundred twelve thousand, three hundred twenty-one".