13211132331120 has 160 divisors (see below), whose sum is σ = 42383131502400. Its totient is φ = 3400170504192.

The previous prime is 13211132331031. The next prime is 13211132331143. The reversal of 13211132331120 is 2113323111231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17681266 + ... + 18413294.

It is an arithmetic number, because the mean of its divisors is an integer number (264894571890).

Almost surely, 2^{13211132331120} is an apocalyptic number.

13211132331120 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 13211132331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191565751200).

13211132331120 is an abundant number, since it is smaller than the sum of its proper divisors (29171999171280).

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

13211132331120 is a wasteful number, since it uses less digits than its factorization.

13211132331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734667 (or 734661 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13211132331120 its reverse (2113323111231), we get a palindrome (15324455442351).

The spelling of 13211132331120 in words is "thirteen trillion, two hundred eleven billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".