1013110313 has 2 divisors, whose sum is σ = 1013110314. Its totient is φ = 1013110312.

The previous prime is 1013110309. The next prime is 1013110327. The reversal of 1013110313 is 3130113101.

It is a happy number.

1013110313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1013110327) can be obtained adding 1013110313 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 641507584 + 371602729 = 25328^2 + 19277^2 .

It is an emirp because it is prime and its reverse (3130113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013110313 - 2² = 1013110309 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013110013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506555156 + 506555157.

It is an arithmetic number, because the mean of its divisors is an integer number (506555157).

Almost surely, 2^1013110313 is an apocalyptic number.

It is an amenable number.

1013110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013110313 is an equidigital number, since it uses as much as digits as its factorization.

1013110313 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 14.

The square root of 1013110313 is about 31829.3938522241. The cubic root of 1013110313 is about 1004.3511444163.

Adding to 1013110313 its reverse (3130113101), we get a palindrome (4143223414).

The spelling of 1013110313 in words is "one billion, thirteen million, one hundred ten thousand, three hundred thirteen".