1313137612800 has 1152 divisors, whose sum is σ = 5259179016000. Its totient is φ = 319212748800.

The previous prime is 1313137612789. The next prime is 1313137612819. The reversal of 1313137612800 is 82167313131.

1313137612800 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 37 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599436390 + ... + 1599437210.

Almost surely, 2^{1313137612800} is an apocalyptic number.

1313137612800 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 1313137612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629589508000).

1313137612800 is an abundant number, since it is smaller than the sum of its proper divisors (3946041403200).

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

1313137612800 is a wasteful number, since it uses less digits than its factorization.

1313137612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 933 counting only the distinct ones).

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

The spelling of 1313137612800 in words is "one trillion, three hundred thirteen billion, one hundred thirty-seven million, six hundred twelve thousand, eight hundred".