13333023330 has 256 divisors, whose sum is σ = 39825561600. Its totient is φ = 2814013440.

The previous prime is 13333023317. The next prime is 13333023343. The reversal of 13333023330 is 3332033331.

It is a happy number.

13333023330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13333023317) and next prime (13333023343).

It is a super-2 number, since 2×13333023330² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13333023330.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4581916 + ... + 4584824.

It is an arithmetic number, because the mean of its divisors is an integer number (155568600).

Almost surely, 2^13333023330 is an apocalyptic number.

13333023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912780800).

13333023330 is an abundant number, since it is smaller than the sum of its proper divisors (26492538270).

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

13333023330 is a wasteful number, since it uses less digits than its factorization.

13333023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 13333023330 its reverse (3332033331), we get a palindrome (16665056661).

The spelling of 13333023330 in words is "thirteen billion, three hundred thirty-three million, twenty-three thousand, three hundred thirty".