13233575540 has 96 divisors (see below), whose sum is σ = 29949575040. Its totient is φ = 4894027776.

The previous prime is 13233575497. The next prime is 13233575543. The reversal of 13233575540 is 4557533231.

It is a junction number, because it is equal to n+sod(n) for n = 13233575494 and 13233575503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233575543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4931039 + ... + 4933721.

It is an arithmetic number, because the mean of its divisors is an integer number (311974740).

Almost surely, 2^13233575540 is an apocalyptic number.

13233575540 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 13233575540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974787520).

13233575540 is an abundant number, since it is smaller than the sum of its proper divisors (16715999500).

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

13233575540 is a wasteful number, since it uses less digits than its factorization.

13233575540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 38.

The spelling of 13233575540 in words is "thirteen billion, two hundred thirty-three million, five hundred seventy-five thousand, five hundred forty".