13313300000000 has 1944 divisors, whose sum is σ = 47786459908320. Its totient is φ = 3628800000000.

The previous prime is 13313299999999. The next prime is 13313300000009. The reversal of 13313300000000 is 331331.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313300000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 700699999991 + ... + 700700000009.

Almost surely, 2^{13313300000000} is an apocalyptic number.

13313300000000 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 13313300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23893229954160).

13313300000000 is an abundant number, since it is smaller than the sum of its proper divisors (34473159908320).

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

13313300000000 is an frugal number, since it uses more digits than its factorization.

13313300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13313300000000 its reverse (331331), we get a palindrome (13313300331331).

It can be divided in two parts, 133 and 13300000000, that multiplied together give a square (1768900000000 = 1330000²).

The spelling of 13313300000000 in words is "thirteen trillion, three hundred thirteen billion, three hundred million", and thus it is an aban number.