13123332233232 has 240 divisors, whose sum is σ = 36821015262528. Its totient is φ = 4003764710400.

The previous prime is 13123332233201. The next prime is 13123332233237. The reversal of 13123332233232 is 23233223332131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13123332233193 and 13123332233202.

It is not an unprimeable number, because it can be changed into a prime (13123332233237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10087110982 + ... + 10087112282.

Almost surely, 2^{13123332233232} is an apocalyptic number.

13123332233232 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 13123332233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410507631264).

13123332233232 is an abundant number, since it is smaller than the sum of its proper divisors (23697683029296).

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

13123332233232 is a wasteful number, since it uses less digits than its factorization.

13123332233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1841 counting only the distinct ones).

The product of its digits is 69984, while the sum is 33.

Adding to 13123332233232 its reverse (23233223332131), we get a palindrome (36356555565363).

The spelling of 13123332233232 in words is "thirteen trillion, one hundred twenty-three billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred thirty-two".