13033234368 has 560 divisors, whose sum is σ = 48788872704. Its totient is φ = 3341813760.

The previous prime is 13033234363. The next prime is 13033234381. The reversal of 13033234368 is 86343233031.

13033234368 is a `hidden beast` number, since 1 + 30 + 33 + 234 + 368 = 666.

13033234368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033234363) 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 79 ways as a sum of consecutive naturals, for example, 41114146 + ... + 41114462.

Almost surely, 2^13033234368 is an apocalyptic number.

13033234368 is a gapful number since it is divisible by the number (18) 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 13033234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394436352).

13033234368 is an abundant number, since it is smaller than the sum of its proper divisors (35755638336).

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

13033234368 is a wasteful number, since it uses less digits than its factorization.

13033234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 13033234368 its reverse (86343233031), we get a palindrome (99376467399).

The spelling of 13033234368 in words is "thirteen billion, thirty-three million, two hundred thirty-four thousand, three hundred sixty-eight".