13347360000000 has 2304 divisors, whose sum is σ = 55896606904320. Its totient is φ = 3041280000000.

The previous prime is 13347359999999. The next prime is 13347360000019. The reversal of 13347360000000 is 6374331.

It is a happy number.

13347360000000 is a `hidden beast` number, since 13 + 3 + 47 + 3 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430559999985 + ... + 430560000015.

It is an arithmetic number, because the mean of its divisors is an integer number (24260680080).

Almost surely, 2^{13347360000000} is an apocalyptic number.

13347360000000 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 13347360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948303452160).

13347360000000 is an abundant number, since it is smaller than the sum of its proper divisors (42549246904320).

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

13347360000000 is an frugal number, since it uses more digits than its factorization.

13347360000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 13347360000000 its reverse (6374331), we get a palindrome (13347366374331).

The spelling of 13347360000000 in words is "thirteen trillion, three hundred forty-seven billion, three hundred sixty million", and thus it is an aban number.