13022100300000 has 1728 divisors, whose sum is σ = 52167181586688. Its totient is φ = 2810419200000.

The previous prime is 13022100299977. The next prime is 13022100300007. The reversal of 13022100300000 is 300122031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022100300007) 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 287 ways as a sum of consecutive naturals, for example, 20252099679 + ... + 20252100321.

It is an arithmetic number, because the mean of its divisors is an integer number (30189341196).

Almost surely, 2^{13022100300000} is an apocalyptic number.

13022100300000 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 13022100300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083590793344).

13022100300000 is an abundant number, since it is smaller than the sum of its proper divisors (39145081286688).

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

13022100300000 is a wasteful number, since it uses less digits than its factorization.

13022100300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13022100300000 its reverse (300122031), we get a palindrome (13022400422031).

The spelling of 13022100300000 in words is "thirteen trillion, twenty-two billion, one hundred million, three hundred thousand".