13300213696 has 112 divisors (see below), whose sum is σ = 33708148992. Its totient is φ = 5055436800.

The previous prime is 13300213613. The next prime is 13300213697. The reversal of 13300213696 is 69631200331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300213697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169135 + ... + 234961.

It is an arithmetic number, because the mean of its divisors is an integer number (300965616).

Almost surely, 2^13300213696 is an apocalyptic number.

13300213696 is a gapful number since it is divisible by the number (16) 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 13300213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854074496).

13300213696 is an abundant number, since it is smaller than the sum of its proper divisors (20407935296).

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

13300213696 is a wasteful number, since it uses less digits than its factorization.

13300213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65898 (or 65888 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 13300213696 in words is "thirteen billion, three hundred million, two hundred thirteen thousand, six hundred ninety-six".