10000413413321 has 2 divisors, whose sum is σ = 10000413413322. Its totient is φ = 10000413413320.

The previous prime is 10000413413293. The next prime is 10000413413339. The reversal of 10000413413321 is 12331431400001.

10000413413321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8310507012025 + 1689906401296 = 2882795^2 + 1299964^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000413413321 - 2⁶ = 10000413413257 is a prime.

It is a super-3 number, since 3×10000413413321³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10000413413021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000206706660 + 5000206706661.

It is an arithmetic number, because the mean of its divisors is an integer number (5000206706661).

Almost surely, 2^{10000413413321} is an apocalyptic number.

It is an amenable number.

10000413413321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000413413321 is an equidigital number, since it uses as much as digits as its factorization.

10000413413321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10000413413321 its reverse (12331431400001), we get a palindrome (22331844813322).

The spelling of 10000413413321 in words is "ten trillion, four hundred thirteen million, four hundred thirteen thousand, three hundred twenty-one".