1330312113 has 64 divisors (see below), whose sum is σ = 2286592000. Its totient is φ = 757366848.

The previous prime is 1330312079. The next prime is 1330312127. The reversal of 1330312113 is 3112130331.

It is a happy number.

It is not a de Polignac number, because 1330312113 - 2⁹ = 1330311601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330312153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284448 + ... + 289086.

It is an arithmetic number, because the mean of its divisors is an integer number (35728000).

Almost surely, 2^1330312113 is an apocalyptic number.

1330312113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1330312113 is a deficient number, since it is larger than the sum of its proper divisors (956279887).

1330312113 is a wasteful number, since it uses less digits than its factorization.

1330312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1330312113 is about 36473.4439421341. The cubic root of 1330312113 is about 1099.8104667938.

Adding to 1330312113 its reverse (3112130331), we get a palindrome (4442442444).

The spelling of 1330312113 in words is "one billion, three hundred thirty million, three hundred twelve thousand, one hundred thirteen".