13220242100 has 144 divisors (see below), whose sum is σ = 33269745600. Its totient is φ = 4515870720.

The previous prime is 13220242097. The next prime is 13220242127. The reversal of 13220242100 is 124202231.

It is a super-2 number, since 2×13220242100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298831 + ... + 1308969.

It is an arithmetic number, because the mean of its divisors is an integer number (231039900).

Almost surely, 2^13220242100 is an apocalyptic number.

13220242100 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 13220242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634872800).

13220242100 is an abundant number, since it is smaller than the sum of its proper divisors (20049503500).

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

13220242100 is a wasteful number, since it uses less digits than its factorization.

13220242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13220242100 its reverse (124202231), we get a palindrome (13344444331).

The spelling of 13220242100 in words is "thirteen billion, two hundred twenty million, two hundred forty-two thousand, one hundred".