13001322100 has 54 divisors (see below), whose sum is σ = 30550069410. Its totient is φ = 4800481920.

The previous prime is 13001322053. The next prime is 13001322107. The reversal of 13001322100 is 122310031.

13001322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 9352437264 + 3648884836 = 96708^2 + 60406^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001322107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367755 + ... + 401554.

Almost surely, 2^13001322100 is an apocalyptic number.

13001322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001322100 is an abundant number, since it is smaller than the sum of its proper divisors (17548747310).

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

13001322100 is a wasteful number, since it uses less digits than its factorization.

13001322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769349 (or 769329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13001322100 its reverse (122310031), we get a palindrome (13123632131).

The spelling of 13001322100 in words is "thirteen billion, one million, three hundred twenty-two thousand, one hundred".