10303103102113 has 2 divisors, whose sum is σ = 10303103102114. Its totient is φ = 10303103102112.

The previous prime is 10303103102063. The next prime is 10303103102191. The reversal of 10303103102113 is 31120130130301.

10303103102113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9563723245729 + 739379856384 = 3092527^2 + 859872^2 .

It is an emirp because it is prime and its reverse (31120130130301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10303103102113 - 2¹⁷ = 10303102971041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10303103102713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151551551056 + 5151551551057.

It is an arithmetic number, because the mean of its divisors is an integer number (5151551551057).

Almost surely, 2^{10303103102113} is an apocalyptic number.

It is an amenable number.

10303103102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10303103102113 is an equidigital number, since it uses as much as digits as its factorization.

10303103102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10303103102113 its reverse (31120130130301), we get a palindrome (41423233232414).

The spelling of 10303103102113 in words is "ten trillion, three hundred three billion, one hundred three million, one hundred two thousand, one hundred thirteen".