13122103300 has 72 divisors (see below), whose sum is σ = 29220832872. Its totient is φ = 5111808000.

The previous prime is 13122103297. The next prime is 13122103303. The reversal of 13122103300 is 330122131.

It is an interprime number because it is at equal distance from previous prime (13122103297) and next prime (13122103303).

It can be written as a sum of positive squares in 12 ways, for example, as 4931129284 + 8190974016 = 70222^2 + 90504^2 .

It is not an unprimeable number, because it can be changed into a prime (13122103303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2625604 + ... + 2630596.

It is an arithmetic number, because the mean of its divisors is an integer number (405844901).

Almost surely, 2^13122103300 is an apocalyptic number.

13122103300 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 13122103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610416436).

13122103300 is an abundant number, since it is smaller than the sum of its proper divisors (16098729572).

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

13122103300 is a wasteful number, since it uses less digits than its factorization.

13122103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13122103300 its reverse (330122131), we get a palindrome (13452225431).

The spelling of 13122103300 in words is "thirteen billion, one hundred twenty-two million, one hundred three thousand, three hundred".