1313463600 has 180 divisors, whose sum is σ = 4727251256. Its totient is φ = 350231040.

The previous prime is 1313463589. The next prime is 1313463601. The reversal of 1313463600 is 63643131.

1313463600 is a `hidden beast` number, since 1 + 3 + 13 + 46 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1313463601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90444 + ... + 103956.

Almost surely, 2^1313463600 is an apocalyptic number.

1313463600 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 1313463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363625628).

1313463600 is an abundant number, since it is smaller than the sum of its proper divisors (3413787656).

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

1313463600 is a wasteful number, since it uses less digits than its factorization.

1313463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13546 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1313463600 is about 36241.7383689028. The cubic root of 1313463600 is about 1095.1476625786.

The spelling of 1313463600 in words is "one billion, three hundred thirteen million, four hundred sixty-three thousand, six hundred".