13000300210212 has 192 divisors, whose sum is σ = 36570278976000. Its totient is φ = 3590526320640.

The previous prime is 13000300210153. The next prime is 13000300210213. The reversal of 13000300210212 is 21201200300031.

It is a junction number, because it is equal to n+sod(n) for n = 13000300210191 and 13000300210200.

It is not an unprimeable number, because it can be changed into a prime (13000300210213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18041028 + ... + 18747780.

It is an arithmetic number, because the mean of its divisors is an integer number (190470203000).

Almost surely, 2^{13000300210212} is an apocalyptic number.

13000300210212 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 13000300210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285139488000).

13000300210212 is an abundant number, since it is smaller than the sum of its proper divisors (23569978765788).

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

13000300210212 is a wasteful number, since it uses less digits than its factorization.

13000300210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706931 (or 706915 counting only the distinct ones).

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

Adding to 13000300210212 its reverse (21201200300031), we get a palindrome (34201500510243).

The spelling of 13000300210212 in words is "thirteen trillion, three hundred million, two hundred ten thousand, two hundred twelve".