1313313313 has 4 divisors (see below), whose sum is σ = 1414337428. Its totient is φ = 1212289200.

The previous prime is 1313313311. The next prime is 1313313319. The reversal of 1313313313 is 3133133131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3133133131 = 397 ⋅7892023.

It can be written as a sum of positive squares in 2 ways, for example, as 380133009 + 933180304 = 19497^2 + 30548^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313313313 - 2¹ = 1313313311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50512038 + ... + 50512063.

It is an arithmetic number, because the mean of its divisors is an integer number (353584357).

Almost surely, 2^1313313313 is an apocalyptic number.

1313313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313313313 is a deficient number, since it is larger than the sum of its proper divisors (101024115).

1313313313 is a wasteful number, since it uses less digits than its factorization.

1313313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101024114.

The product of its digits is 729, while the sum is 22.

The square root of 1313313313 is about 36239.6649129100. The cubic root of 1313313313 is about 1095.1058919160.

Adding to 1313313313 its reverse (3133133131), we get a palindrome (4446446444).

The spelling of 1313313313 in words is "one billion, three hundred thirteen million, three hundred thirteen thousand, three hundred thirteen".