1313567200 has 72 divisors (see below), whose sum is σ = 3498291720. Its totient is φ = 477657600.

The previous prime is 1313567173. The next prime is 1313567219. The reversal of 1313567200 is 27653131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65835 + ... + 83434.

It is an arithmetic number, because the mean of its divisors is an integer number (48587385).

Almost surely, 2^1313567200 is an apocalyptic number.

1313567200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313567200 is an abundant number, since it is smaller than the sum of its proper divisors (2184724520).

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

1313567200 is a wasteful number, since it uses less digits than its factorization.

1313567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149300 (or 149287 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1313567200 is about 36243.1676319827. The cubic root of 1313567200 is about 1095.1764552341.

The spelling of 1313567200 in words is "one billion, three hundred thirteen million, five hundred sixty-seven thousand, two hundred".