10034322411361 has 2 divisors, whose sum is σ = 10034322411362. Its totient is φ = 10034322411360.

The previous prime is 10034322411359. The next prime is 10034322411457. The reversal of 10034322411361 is 16311422343001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5248864281600 + 4785458129761 = 2291040^2 + 2187569^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034322411361 - 2¹ = 10034322411359 is a prime.

Together with 10034322411359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10034322411301) 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, 5017161205680 + 5017161205681.

It is an arithmetic number, because the mean of its divisors is an integer number (5017161205681).

Almost surely, 2^{10034322411361} is an apocalyptic number.

It is an amenable number.

10034322411361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034322411361 is an equidigital number, since it uses as much as digits as its factorization.

10034322411361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 10034322411361 its reverse (16311422343001), we get a palindrome (26345744754362).

The spelling of 10034322411361 in words is "ten trillion, thirty-four billion, three hundred twenty-two million, four hundred eleven thousand, three hundred sixty-one".