1313313300 has 108 divisors (see below), whose sum is σ = 4433201500. Its totient is φ = 323274240.

The previous prime is 1313313293. The next prime is 1313313311. The reversal of 1313313300 is 33133131.

1313313300 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8225424 + 1305087876 = 2868^2 + 36126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 44425 + ... + 67824.

Almost surely, 2^1313313300 is an apocalyptic number.

1313313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313313300 is an abundant number, since it is smaller than the sum of its proper divisors (3119888200).

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

1313313300 is a wasteful number, since it uses less digits than its factorization.

1313313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112282 (or 112272 counting only the distinct ones).

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

The square root of 1313313300 is about 36239.6647335485. The cubic root of 1313313300 is about 1095.1058883027.

Adding to 1313313300 its reverse (33133131), we get a palindrome (1346446431).

The spelling of 1313313300 in words is "one billion, three hundred thirteen million, three hundred thirteen thousand, three hundred".