10004312123329 has 2 divisors, whose sum is σ = 10004312123330. Its totient is φ = 10004312123328.

The previous prime is 10004312123287. The next prime is 10004312123411. The reversal of 10004312123329 is 92332121340001.

It is a happy number.

10004312123329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7175433690000 + 2828878433329 = 2678700^2 + 1681927^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004312123329 - 2²³ = 10004303734721 is a prime.

It is a super-3 number, since 3×10004312123329³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10004312123329.

It is not a weakly prime, because it can be changed into another prime (10004312133329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002156061664 + 5002156061665.

It is an arithmetic number, because the mean of its divisors is an integer number (5002156061665).

Almost surely, 2^{10004312123329} is an apocalyptic number.

It is an amenable number.

10004312123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004312123329 is an equidigital number, since it uses as much as digits as its factorization.

10004312123329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 10004312123329 in words is "ten trillion, four billion, three hundred twelve million, one hundred twenty-three thousand, three hundred twenty-nine".