13220000100 has 108 divisors (see below), whose sum is σ = 42557391604. Its totient is φ = 3430045440.

The previous prime is 13220000089. The next prime is 13220000111. The reversal of 13220000100 is 100002231.

It is a happy number.

13220000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13220000089) and next prime (13220000111).

It can be written as a sum of positive squares in 6 ways, for example, as 582643044 + 12637357056 = 24138^2 + 112416^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 165199 + ... + 231798.

Almost surely, 2^13220000100 is an apocalyptic number.

13220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220000100 is an abundant number, since it is smaller than the sum of its proper divisors (29337391504).

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

13220000100 is a wasteful number, since it uses less digits than its factorization.

13220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397054 (or 397044 counting only the distinct ones).

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

Adding to 13220000100 its reverse (100002231), we get a palindrome (13320002331).

The spelling of 13220000100 in words is "thirteen billion, two hundred twenty million, one hundred", and thus it is an aban number.