1013101110313 has 2 divisors, whose sum is σ = 1013101110314. Its totient is φ = 1013101110312.

The previous prime is 1013101110277. The next prime is 1013101110347. The reversal of 1013101110313 is 3130111013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995259631129 + 17841479184 = 997627^2 + 133572^2 .

It is an emirp because it is prime and its reverse (3130111013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013101110313 - 2³³ = 1004511175721 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013101110353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506550555156 + 506550555157.

It is an arithmetic number, because the mean of its divisors is an integer number (506550555157).

Almost surely, 2^{1013101110313} is an apocalyptic number.

It is an amenable number.

1013101110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013101110313 is an equidigital number, since it uses as much as digits as its factorization.

1013101110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1013101110313 its reverse (3130111013101), we get a palindrome (4143212123414).

The spelling of 1013101110313 in words is "one trillion, thirteen billion, one hundred one million, one hundred ten thousand, three hundred thirteen".