13301224100 has 72 divisors (see below), whose sum is σ = 30587495400. Its totient is φ = 5011686400.

The previous prime is 13301224087. The next prime is 13301224103. The reversal of 13301224100 is 142210331.

It can be written as a sum of positive squares in 12 ways, for example, as 11471266816 + 1829957284 = 107104^2 + 42778^2 .

It is not an unprimeable number, because it can be changed into a prime (13301224103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62966 + ... + 174834.

It is an arithmetic number, because the mean of its divisors is an integer number (424826325).

Almost surely, 2^13301224100 is an apocalyptic number.

13301224100 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 13301224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293747700).

13301224100 is an abundant number, since it is smaller than the sum of its proper divisors (17286271300).

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

13301224100 is a wasteful number, since it uses less digits than its factorization.

13301224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111953 (or 111946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13301224100 its reverse (142210331), we get a palindrome (13443434431).

The spelling of 13301224100 in words is "thirteen billion, three hundred one million, two hundred twenty-four thousand, one hundred".