10365266550313 has 2 divisors, whose sum is σ = 10365266550314. Its totient is φ = 10365266550312.

The previous prime is 10365266550211. The next prime is 10365266550343. The reversal of 10365266550313 is 31305566256301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5999624044569 + 4365642505744 = 2449413^2 + 2089412^2 .

It is a cyclic number.

It is not a de Polignac number, because 10365266550313 - 2¹³ = 10365266542121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10365266550343) 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, 5182633275156 + 5182633275157.

It is an arithmetic number, because the mean of its divisors is an integer number (5182633275157).

Almost surely, 2^{10365266550313} is an apocalyptic number.

It is an amenable number.

10365266550313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10365266550313 is an equidigital number, since it uses as much as digits as its factorization.

10365266550313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458000, while the sum is 46.

The spelling of 10365266550313 in words is "ten trillion, three hundred sixty-five billion, two hundred sixty-six million, five hundred fifty thousand, three hundred thirteen".