1013113313 has 4 divisors (see below), whose sum is σ = 1013176980. Its totient is φ = 1013049648.

The previous prime is 1013113303. The next prime is 1013113331. The reversal of 1013113313 is 3133113101.

1013113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 857786944 + 155326369 = 29288^2 + 12463^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013113313 - 2¹² = 1013109217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013113291 and 1013113300.

It is not an unprimeable number, because it can be changed into a prime (1013113303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15203 + ... + 47511.

It is an arithmetic number, because the mean of its divisors is an integer number (253294245).

Almost surely, 2^1013113313 is an apocalyptic number.

It is an amenable number.

1013113313 is a deficient number, since it is larger than the sum of its proper divisors (63667).

1013113313 is an equidigital number, since it uses as much as digits as its factorization.

1013113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63666.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1013113313 is about 31829.4409784401. The cubic root of 1013113313 is about 1004.3521357695.

Adding to 1013113313 its reverse (3133113101), we get a palindrome (4146226414).

The spelling of 1013113313 in words is "one billion, thirteen million, one hundred thirteen thousand, three hundred thirteen".