1313687113200 has 1440 divisors, whose sum is σ = 5802828595200. Its totient is φ = 267321600000.

The previous prime is 1313687113177. The next prime is 1313687113229. The reversal of 1313687113200 is 23117863131.

1313687113200 is a `hidden beast` number, since 1 + 313 + 6 + 8 + 7 + 11 + 320 + 0 = 666.

It is a super-2 number, since 2×1313687113200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5233813075 + ... + 5233813325.

It is an arithmetic number, because the mean of its divisors is an integer number (4029742080).

Almost surely, 2^{1313687113200} is an apocalyptic number.

1313687113200 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 1313687113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901414297600).

1313687113200 is an abundant number, since it is smaller than the sum of its proper divisors (4489141482000).

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

1313687113200 is a wasteful number, since it uses less digits than its factorization.

1313687113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1313687113200 in words is "one trillion, three hundred thirteen billion, six hundred eighty-seven million, one hundred thirteen thousand, two hundred".