13210020312 has 64 divisors (see below), whose sum is σ = 33979150080. Its totient is φ = 4276559232.

The previous prime is 13210020301. The next prime is 13210020319. The reversal of 13210020312 is 21302001231.

It is a junction number, because it is equal to n+sod(n) for n = 13210020291 and 13210020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210020319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486733 + ... + 513155.

It is an arithmetic number, because the mean of its divisors is an integer number (530924220).

Almost surely, 2^13210020312 is an apocalyptic number.

13210020312 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 13210020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16989575040).

13210020312 is an abundant number, since it is smaller than the sum of its proper divisors (20769129768).

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

13210020312 is a wasteful number, since it uses less digits than its factorization.

13210020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27032 (or 27028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13210020312 its reverse (21302001231), we get a palindrome (34512021543).

The spelling of 13210020312 in words is "thirteen billion, two hundred ten million, twenty thousand, three hundred twelve".