13023330333300 has 2304 divisors, whose sum is σ = 53956546560000. Its totient is φ = 2681921249280.

The previous prime is 13023330333259. The next prime is 13023330333301. The reversal of 13023330333300 is 333303332031.

13023330333300 is a `hidden beast` number, since 1 + 3 + 0 + 23 + 3 + 3 + 0 + 333 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023330333301) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 46018834959 + ... + 46018835241.

It is an arithmetic number, because the mean of its divisors is an integer number (23418640000).

Almost surely, 2^{13023330333300} is an apocalyptic number.

13023330333300 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 13023330333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978273280000).

13023330333300 is an abundant number, since it is smaller than the sum of its proper divisors (40933216226700).

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

13023330333300 is a wasteful number, since it uses less digits than its factorization.

13023330333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 13023330333300 its reverse (333303332031), we get a palindrome (13356633665331).

The spelling of 13023330333300 in words is "thirteen trillion, twenty-three billion, three hundred thirty million, three hundred thirty-three thousand, three hundred".