10413430100321 has 2 divisors, whose sum is σ = 10413430100322. Its totient is φ = 10413430100320.

The previous prime is 10413430100309. The next prime is 10413430100323. The reversal of 10413430100321 is 12300103431401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9315094660096 + 1098335440225 = 3052064^2 + 1048015^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413430100321 - 2⁶ = 10413430100257 is a prime.

Together with 10413430100323, 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 (10413430100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206715050160 + 5206715050161.

It is an arithmetic number, because the mean of its divisors is an integer number (5206715050161).

Almost surely, 2^{10413430100321} is an apocalyptic number.

It is an amenable number.

10413430100321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413430100321 is an equidigital number, since it uses as much as digits as its factorization.

10413430100321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10413430100321 its reverse (12300103431401), we get a palindrome (22713533531722).

The spelling of 10413430100321 in words is "ten trillion, four hundred thirteen billion, four hundred thirty million, one hundred thousand, three hundred twenty-one".