13313144000000 has 840 divisors, whose sum is σ = 37002555267480. Its totient is φ = 4780339200000.

The previous prime is 13313143999993. The next prime is 13313144000027. The reversal of 13313144000000 is 44131331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 83 ways as a sum of consecutive naturals, for example, 58135999886 + ... + 58136000114.

Almost surely, 2^{13313144000000} is an apocalyptic number.

13313144000000 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 13313144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501277633740).

13313144000000 is an abundant number, since it is smaller than the sum of its proper divisors (23689411267480).

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

13313144000000 is an frugal number, since it uses more digits than its factorization.

13313144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13313144000000 its reverse (44131331), we get a palindrome (13313188131331).

The spelling of 13313144000000 in words is "thirteen trillion, three hundred thirteen billion, one hundred forty-four million", and thus it is an aban number.