1313330031 has 40 divisors (see below), whose sum is σ = 2133491360. Its totient is φ = 800290368.

The previous prime is 1313330023. The next prime is 1313330041. The reversal of 1313330031 is 1300333131.

It is not a de Polignac number, because 1313330031 - 2³ = 1313330023 is a prime.

It is a super-2 number, since 2×1313330031² = 3449671540652921922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313329986 and 1313330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313330021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102405 + ... + 114513.

It is an arithmetic number, because the mean of its divisors is an integer number (53337284).

Almost surely, 2^1313330031 is an apocalyptic number.

1313330031 is a deficient number, since it is larger than the sum of its proper divisors (820161329).

1313330031 is a wasteful number, since it uses less digits than its factorization.

1313330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237 (or 12228 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1313330031 is about 36239.8955710416. The cubic root of 1313330031 is about 1095.1105386626.

Adding to 1313330031 its reverse (1300333131), we get a palindrome (2613663162).

The spelling of 1313330031 in words is "one billion, three hundred thirteen million, three hundred thirty thousand, thirty-one".