13322100 has 108 divisors (see below), whose sum is σ = 42483392. Its totient is φ = 3220800.

The previous prime is 13322093. The next prime is 13322117. The reversal of 13322100 is 122331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36117 + ... + 36483.

Almost surely, 2^13322100 is an apocalyptic number.

13322100 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 13322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241696).

13322100 is an abundant number, since it is smaller than the sum of its proper divisors (29161292).

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

13322100 is a wasteful number, since it uses less digits than its factorization.

13322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13322100 is about 3649.9452050682. The cubic root of 13322100 is about 237.0596086422.

Adding to 13322100 its reverse (122331), we get a palindrome (13444431).

The spelling of 13322100 in words is "thirteen million, three hundred twenty-two thousand, one hundred".