13011212300300 has 144 divisors (see below), whose sum is σ = 29089700640000. Its totient is φ = 5049616416000.

The previous prime is 13011212300299. The next prime is 13011212300351. The reversal of 13011212300300 is 300321211031.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 133400951 + ... + 133498449.

It is an arithmetic number, because the mean of its divisors is an integer number (202011810000).

Almost surely, 2^{13011212300300} is an apocalyptic number.

13011212300300 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 13011212300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544850320000).

13011212300300 is an abundant number, since it is smaller than the sum of its proper divisors (16078488339700).

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

13011212300300 is a wasteful number, since it uses less digits than its factorization.

13011212300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97872 (or 97865 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13011212300300 its reverse (300321211031), we get a palindrome (13311533511331).

The spelling of 13011212300300 in words is "thirteen trillion, eleven billion, two hundred twelve million, three hundred thousand, three hundred".