1313755200 has 504 divisors, whose sum is σ = 5044399360. Its totient is φ = 335923200.

The previous prime is 1313755127. The next prime is 1313755211. The reversal of 1313755200 is 25573131.

1313755200 is a `hidden beast` number, since 1 + 3 + 137 + 5 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12052746 + ... + 12052854.

Almost surely, 2^1313755200 is an apocalyptic number.

1313755200 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 1313755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522199680).

1313755200 is an abundant number, since it is smaller than the sum of its proper divisors (3730644160).

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

1313755200 is a wasteful number, since it uses less digits than its factorization.

1313755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1313755200 is about 36245.7611314758. The cubic root of 1313755200 is about 1095.2287005885.

The spelling of 1313755200 in words is "one billion, three hundred thirteen million, seven hundred fifty-five thousand, two hundred".