13103122200 has 384 divisors, whose sum is σ = 48371904000. Its totient is φ = 2870784000.

The previous prime is 13103122199. The next prime is 13103122223. The reversal of 13103122200 is 222130131.

It is a super-2 number, since 2×13103122200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13103122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21801900 + ... + 21802500.

It is an arithmetic number, because the mean of its divisors is an integer number (125968500).

Almost surely, 2^13103122200 is an apocalyptic number.

13103122200 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 13103122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185952000).

13103122200 is an abundant number, since it is smaller than the sum of its proper divisors (35268781800).

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

13103122200 is a wasteful number, since it uses less digits than its factorization.

13103122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

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

Adding to 13103122200 its reverse (222130131), we get a palindrome (13325252331).

The spelling of 13103122200 in words is "thirteen billion, one hundred three million, one hundred twenty-two thousand, two hundred".