13020203220100 has 72 divisors (see below), whose sum is σ = 28804842387720. Its totient is φ = 5106636487680.

The previous prime is 13020203220083. The next prime is 13020203220137. The reversal of 13020203220100 is 102230202031.

It can be written as a sum of positive squares in 12 ways, for example, as 3462851716 + 13016740368384 = 58846^2 + 3607872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7764294 + ... + 9291106.

It is an arithmetic number, because the mean of its divisors is an integer number (400067255385).

Almost surely, 2^{13020203220100} is an apocalyptic number.

13020203220100 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 13020203220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402421193860).

13020203220100 is an abundant number, since it is smaller than the sum of its proper divisors (15784639167620).

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

13020203220100 is a wasteful number, since it uses less digits than its factorization.

13020203220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528489 (or 1528482 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13020203220100 its reverse (102230202031), we get a palindrome (13122433422131).

The spelling of 13020203220100 in words is "thirteen trillion, twenty billion, two hundred three million, two hundred twenty thousand, one hundred".