13333025420 has 192 divisors, whose sum is σ = 34908572160. Its totient is φ = 4205260800.

The previous prime is 13333025417. The next prime is 13333025423. The reversal of 13333025420 is 2452033331.

It is a happy number.

13333025420 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 (13333025417) and next prime (13333025423).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13333025420.

It is not an unprimeable number, because it can be changed into a prime (13333025423) 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 63 ways as a sum of consecutive naturals, for example, 7117604 + ... + 7119476.

It is an arithmetic number, because the mean of its divisors is an integer number (181815480).

Almost surely, 2^13333025420 is an apocalyptic number.

13333025420 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 13333025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454286080).

13333025420 is an abundant number, since it is smaller than the sum of its proper divisors (21575546740).

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

13333025420 is a wasteful number, since it uses less digits than its factorization.

13333025420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 13333025420 its reverse (2452033331), we get a palindrome (15785058751).

The spelling of 13333025420 in words is "thirteen billion, three hundred thirty-three million, twenty-five thousand, four hundred twenty".