100000013220 has 72 divisors (see below), whose sum is σ = 311531593464. Its totient is φ = 25945947648.

The previous prime is 100000013167. The next prime is 100000013227. The reversal of 100000013220 is 22310000001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32868239616 + 67131773604 = 181296^2 + 259098^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100000013227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7500849 + ... + 7514168.

It is an arithmetic number, because the mean of its divisors is an integer number (4326827687).

Almost surely, 2^100000013220 is an apocalyptic number.

100000013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000013220 is an abundant number, since it is smaller than the sum of its proper divisors (211531580244).

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

100000013220 is a wasteful number, since it uses less digits than its factorization.

100000013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15015069 (or 15015064 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100000013220 its reverse (22310000001), we get a palindrome (122310013221).

The spelling of 100000013220 in words is "one hundred billion, thirteen thousand, two hundred twenty".