13003233120 has 144 divisors (see below), whose sum is σ = 44597498400. Its totient is φ = 3450028032.

The previous prime is 13003233109. The next prime is 13003233157. The reversal of 13003233120 is 2133230031.

13003233120 is a `hidden beast` number, since 1 + 30 + 0 + 323 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13003233093 and 13003233102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263872 + ... + 309248.

It is an arithmetic number, because the mean of its divisors is an integer number (309704850).

Almost surely, 2^13003233120 is an apocalyptic number.

13003233120 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 13003233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298749200).

13003233120 is an abundant number, since it is smaller than the sum of its proper divisors (31594265280).

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

13003233120 is a wasteful number, since it uses less digits than its factorization.

13003233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45597 (or 45586 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003233120 its reverse (2133230031), we get a palindrome (15136463151).

The spelling of 13003233120 in words is "thirteen billion, three million, two hundred thirty-three thousand, one hundred twenty".