10305640013341 has 2 divisors, whose sum is σ = 10305640013342. Its totient is φ = 10305640013340.

The previous prime is 10305640013267. The next prime is 10305640013407. The reversal of 10305640013341 is 14331004650301.

10305640013341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9887219916025 + 418420097316 = 3144395^2 + 646854^2 .

It is an emirp because it is prime and its reverse (14331004650301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10305640013341 - 2¹⁷ = 10305639882269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10305640013741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152820006670 + 5152820006671.

It is an arithmetic number, because the mean of its divisors is an integer number (5152820006671).

Almost surely, 2^{10305640013341} is an apocalyptic number.

It is an amenable number.

10305640013341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305640013341 is an equidigital number, since it uses as much as digits as its factorization.

10305640013341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 10305640013341 its reverse (14331004650301), we get a palindrome (24636644663642).

The spelling of 10305640013341 in words is "ten trillion, three hundred five billion, six hundred forty million, thirteen thousand, three hundred forty-one".