13233023024 has 80 divisors (see below), whose sum is σ = 29463218400. Its totient is φ = 5706713088.

The previous prime is 13233023017. The next prime is 13233023071. The reversal of 13233023024 is 42032033231.

13233023024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13233023024² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265562 + ... + 311430.

It is an arithmetic number, because the mean of its divisors is an integer number (368290230).

Almost surely, 2^13233023024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731609200).

13233023024 is an abundant number, since it is smaller than the sum of its proper divisors (16230195376).

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

13233023024 is a wasteful number, since it uses less digits than its factorization.

13233023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45982 (or 45976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13233023024 its reverse (42032033231), we get a palindrome (55265056255).

The spelling of 13233023024 in words is "thirteen billion, two hundred thirty-three million, twenty-three thousand, twenty-four".