10082644446313 has 2 divisors, whose sum is σ = 10082644446314. Its totient is φ = 10082644446312.

The previous prime is 10082644446263. The next prime is 10082644446323. The reversal of 10082644446313 is 31364444628001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9877210696809 + 205433749504 = 3142803^2 + 453248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10082644446313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10082644446323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041322223156 + 5041322223157.

It is an arithmetic number, because the mean of its divisors is an integer number (5041322223157).

Almost surely, 2^{10082644446313} is an apocalyptic number.

It is an amenable number.

10082644446313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10082644446313 is an equidigital number, since it uses as much as digits as its factorization.

10082644446313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 10082644446313 in words is "ten trillion, eighty-two billion, six hundred forty-four million, four hundred forty-six thousand, three hundred thirteen".