13233133122 has 128 divisors (see below), whose sum is σ = 31293112320. Its totient is φ = 3688872000.

The previous prime is 13233133117. The next prime is 13233133157. The reversal of 13233133122 is 22133133231.

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 = 13233133092 and 13233133101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8422597 + ... + 8424167.

It is an arithmetic number, because the mean of its divisors is an integer number (244477440).

Almost surely, 2^13233133122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646556160).

13233133122 is an abundant number, since it is smaller than the sum of its proper divisors (18059979198).

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

13233133122 is a wasteful number, since it uses less digits than its factorization.

13233133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820.

The product of its digits is 1944, while the sum is 24.

Adding to 13233133122 its reverse (22133133231), we get a palindrome (35366266353).

The spelling of 13233133122 in words is "thirteen billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-two".