1013305313 has 4 divisors (see below), whose sum is σ = 1014084288. Its totient is φ = 1012526340.

The previous prime is 1013305303. The next prime is 1013305333. The reversal of 1013305313 is 3135033101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1013305313 - 2⁴ = 1013305297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013305303) 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, 387533 + ... + 390138.

It is an arithmetic number, because the mean of its divisors is an integer number (253521072).

Almost surely, 2^1013305313 is an apocalyptic number.

It is an amenable number.

1013305313 is a deficient number, since it is larger than the sum of its proper divisors (778975).

1013305313 is an equidigital number, since it uses as much as digits as its factorization.

1013305313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778974.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 1013305313 is about 31832.4569111465. The cubic root of 1013305313 is about 1004.4155783042.

Adding to 1013305313 its reverse (3135033101), we get a palindrome (4148338414).

The spelling of 1013305313 in words is "one billion, thirteen million, three hundred five thousand, three hundred thirteen".