13233340032 has 128 divisors (see below), whose sum is σ = 38403832320. Its totient is φ = 4004121600.

The previous prime is 13233339989. The next prime is 13233340067. The reversal of 13233340032 is 23004333231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13233340032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13233339984 and 13233340011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3423733 + ... + 3427595.

It is an arithmetic number, because the mean of its divisors is an integer number (300029940).

Almost surely, 2^13233340032 is an apocalyptic number.

13233340032 is a gapful number since it is divisible by the number (12) 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 13233340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201916160).

13233340032 is an abundant number, since it is smaller than the sum of its proper divisors (25170492288).

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

13233340032 is a wasteful number, since it uses less digits than its factorization.

13233340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13233340032 its reverse (23004333231), we get a palindrome (36237673263).

The spelling of 13233340032 in words is "thirteen billion, two hundred thirty-three million, three hundred forty thousand, thirty-two".