13233312120 has 128 divisors (see below), whose sum is σ = 45945907200. Its totient is φ = 2986454016.

The previous prime is 13233312119. The next prime is 13233312133. The reversal of 13233312120 is 2121333231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33349 + ... + 166068.

It is an arithmetic number, because the mean of its divisors is an integer number (358952400).

Almost surely, 2^13233312120 is an apocalyptic number.

13233312120 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 13233312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972953600).

13233312120 is an abundant number, since it is smaller than the sum of its proper divisors (32712595080).

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

13233312120 is a wasteful number, since it uses less digits than its factorization.

13233312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199517 (or 199513 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13233312120 its reverse (2121333231), we get a palindrome (15354645351).

It can be divided in two parts, 132333 and 12120, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 13233312120 in words is "thirteen billion, two hundred thirty-three million, three hundred twelve thousand, one hundred twenty".