1313330100 has 72 divisors (see below), whose sum is σ = 3834858720. Its totient is φ = 346999680.

The previous prime is 1313330099. The next prime is 1313330101. The reversal of 1313330100 is 10333131.

It is an interprime number because it is at equal distance from previous prime (1313330099) and next prime (1313330101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313330101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12619 + ... + 52781.

Almost surely, 2^1313330100 is an apocalyptic number.

1313330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917429360).

1313330100 is an abundant number, since it is smaller than the sum of its proper divisors (2521528620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313330100 is a wasteful number, since it uses less digits than its factorization.

1313330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40289 (or 40282 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1313330100 is about 36239.8965230311. The cubic root of 1313330100 is about 1095.1105578410.

Adding to 1313330100 its reverse (10333131), we get a palindrome (1323663231).

The spelling of 1313330100 in words is "one billion, three hundred thirteen million, three hundred thirty thousand, one hundred".