13220123100 has 144 divisors (see below), whose sum is σ = 40552591968. Its totient is φ = 3313704960.

The previous prime is 13220123087. The next prime is 13220123123. The reversal of 13220123100 is 132102231.

It is a super-2 number, since 2×13220123100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13220123100.

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, 6185232 + ... + 6187368.

It is an arithmetic number, because the mean of its divisors is an integer number (281615222).

Almost surely, 2^13220123100 is an apocalyptic number.

13220123100 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 13220123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276295984).

13220123100 is an abundant number, since it is smaller than the sum of its proper divisors (27332468868).

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

13220123100 is a wasteful number, since it uses less digits than its factorization.

13220123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220123100 its reverse (132102231), we get a palindrome (13352225331).

The spelling of 13220123100 in words is "thirteen billion, two hundred twenty million, one hundred twenty-three thousand, one hundred".