13331233104 has 120 divisors (see below), whose sum is σ = 39814029120. Its totient is φ = 3765374976.

The previous prime is 13331233103. The next prime is 13331233117. The reversal of 13331233104 is 40133213331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331233103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658952 + ... + 2663960.

It is an arithmetic number, because the mean of its divisors is an integer number (331783576).

Almost surely, 2^13331233104 is an apocalyptic number.

13331233104 is a gapful number since it is divisible by the number (14) 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 13331233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19907014560).

13331233104 is an abundant number, since it is smaller than the sum of its proper divisors (26482796016).

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

13331233104 is an equidigital number, since it uses as much as digits as its factorization.

13331233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5110 counting only the distinct ones).

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

Adding to 13331233104 its reverse (40133213331), we get a palindrome (53464446435).

The spelling of 13331233104 in words is "thirteen billion, three hundred thirty-one million, two hundred thirty-three thousand, one hundred four".