13033012300 has 144 divisors (see below), whose sum is σ = 35604721152. Its totient is φ = 4022553600.

The previous prime is 13033012253. The next prime is 13033012303. The reversal of 13033012300 is 321033031.

13033012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13033012300² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033012303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784884 + ... + 801316.

It is an arithmetic number, because the mean of its divisors is an integer number (247255008).

Almost surely, 2^13033012300 is an apocalyptic number.

13033012300 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 13033012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802360576).

13033012300 is an abundant number, since it is smaller than the sum of its proper divisors (22571708852).

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

13033012300 is a wasteful number, since it uses less digits than its factorization.

13033012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16568 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13033012300 its reverse (321033031), we get a palindrome (13354045331).

The spelling of 13033012300 in words is "thirteen billion, thirty-three million, twelve thousand, three hundred".