13022100213300 has 360 divisors, whose sum is σ = 44707288925376. Its totient is φ = 3267436631040.

The previous prime is 13022100213299. The next prime is 13022100213301. The reversal of 13022100213300 is 331200122031.

13022100213300 is a `hidden beast` number, since 1 + 30 + 22 + 100 + 213 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (13022100213299) and next prime (13022100213301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022100213301) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 650347089 + ... + 650367111.

Almost surely, 2^{13022100213300} is an apocalyptic number.

13022100213300 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 13022100213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353644462688).

13022100213300 is an abundant number, since it is smaller than the sum of its proper divisors (31685188712076).

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

13022100213300 is a wasteful number, since it uses less digits than its factorization.

13022100213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24789 (or 24773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022100213300 its reverse (331200122031), we get a palindrome (13353300335331).

The spelling of 13022100213300 in words is "thirteen trillion, twenty-two billion, one hundred million, two hundred thirteen thousand, three hundred".