13231122133120 has 128 divisors (see below), whose sum is σ = 31963628032560. Its totient is φ = 5236758675456.

The previous prime is 13231122133111. The next prime is 13231122133181. The reversal of 13231122133120 is 2133122113231.

It can be written as a sum of positive squares in 8 ways, for example, as 3495374246464 + 9735747886656 = 1869592^2 + 3120216^2 .

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

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, 325092612 + ... + 325133308.

Almost surely, 2^{13231122133120} is an apocalyptic number.

13231122133120 is a gapful number since it is divisible by the number (10) 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 13231122133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981814016280).

13231122133120 is an abundant number, since it is smaller than the sum of its proper divisors (18732505899440).

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

13231122133120 is an equidigital number, since it uses as much as digits as its factorization.

13231122133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46050 (or 46038 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13231122133120 its reverse (2133122113231), we get a palindrome (15364244246351).

The spelling of 13231122133120 in words is "thirteen trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".