13210231320312 has 256 divisors, whose sum is σ = 38882543616000. Its totient is φ = 3704941721088.

The previous prime is 13210231320259. The next prime is 13210231320317. The reversal of 13210231320312 is 21302313201231.

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 (13210231320317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16036533 + ... + 16840155.

It is an arithmetic number, because the mean of its divisors is an integer number (151884936000).

Almost surely, 2^{13210231320312} is an apocalyptic number.

13210231320312 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 13210231320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441271808000).

13210231320312 is an abundant number, since it is smaller than the sum of its proper divisors (25672312295688).

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

13210231320312 is a wasteful number, since it uses less digits than its factorization.

13210231320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803770 (or 803766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13210231320312 its reverse (21302313201231), we get a palindrome (34512544521543).

The spelling of 13210231320312 in words is "thirteen trillion, two hundred ten billion, two hundred thirty-one million, three hundred twenty thousand, three hundred twelve".