13313300000 has 864 divisors, whose sum is σ = 47128858560. Its totient is φ = 3628800000.

The previous prime is 13313299999. The next prime is 13313300009. The reversal of 13313300000 is 331331.

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

It is not an unprimeable number, because it can be changed into a prime (13313300009) 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 143 ways as a sum of consecutive naturals, for example, 700699991 + ... + 700700009.

It is an arithmetic number, because the mean of its divisors is an integer number (54547290).

Almost surely, 2^13313300000 is an apocalyptic number.

13313300000 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 13313300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23564429280).

13313300000 is an abundant number, since it is smaller than the sum of its proper divisors (33815558560).

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

13313300000 is a wasteful number, since it uses less digits than its factorization.

13313300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

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

Adding to 13313300000 its reverse (331331), we get a palindrome (13313631331).

It can be divided in two parts, 13313 and 300000, that added together give a palindrome (313313).

The spelling of 13313300000 in words is "thirteen billion, three hundred thirteen million, three hundred thousand".