10444022413313 has 2 divisors, whose sum is σ = 10444022413314. Its totient is φ = 10444022413312.

The previous prime is 10444022413261. The next prime is 10444022413337. The reversal of 10444022413313 is 31331422044401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8971893977344 + 1472128435969 = 2995312^2 + 1213313^2 .

It is a cyclic number.

It is not a de Polignac number, because 10444022413313 - 2¹⁰ = 10444022412289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10444022413313.

It is not a weakly prime, because it can be changed into another prime (10444022413343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5222011206656 + 5222011206657.

It is an arithmetic number, because the mean of its divisors is an integer number (5222011206657).

Almost surely, 2^{10444022413313} is an apocalyptic number.

It is an amenable number.

10444022413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10444022413313 is an equidigital number, since it uses as much as digits as its factorization.

10444022413313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10444022413313 its reverse (31331422044401), we get a palindrome (41775444457714).

The spelling of 10444022413313 in words is "ten trillion, four hundred forty-four billion, twenty-two million, four hundred thirteen thousand, three hundred thirteen".