13326613300 has 648 divisors, whose sum is σ = 42252504000. Its totient is φ = 3632428800.

The previous prime is 13326613291. The next prime is 13326613337. The reversal of 13326613300 is 331662331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 701400691 + ... + 701400709.

Almost surely, 2^13326613300 is an apocalyptic number.

13326613300 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 13326613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21126252000).

13326613300 is an abundant number, since it is smaller than the sum of its proper divisors (28925890700).

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

13326613300 is a wasteful number, since it uses less digits than its factorization.

13326613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

It can be divided in two parts, 13326 and 613300, that added together give a palindrome (626626).

The spelling of 13326613300 in words is "thirteen billion, three hundred twenty-six million, six hundred thirteen thousand, three hundred".