13223100 has 72 divisors (see below), whose sum is σ = 41747328. Its totient is φ = 3204800.

The previous prime is 13223087. The next prime is 13223123. The reversal of 13223100 is 132231.

It is a happy number.

13223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13223100² = 349700747220000, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (579824).

Almost surely, 2^13223100 is an apocalyptic number.

13223100 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 13223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873664).

13223100 is an abundant number, since it is smaller than the sum of its proper divisors (28524228).

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

13223100 is a wasteful number, since it uses less digits than its factorization.

13223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4028 counting only the distinct ones).

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

The square root of 13223100 is about 3636.3580681776. The cubic root of 13223100 is about 236.4709307569.

Adding to 13223100 its reverse (132231), we get a palindrome (13355331).

Multiplying 13223100 by its reverse (132231), we get a square (1748503736100 = 1322310²).

13223100 divided by its reverse (132231) gives a square (100 = 10²).

It can be divided in two parts, 132 and 23100, that added together give a palindrome (23232).

The spelling of 13223100 in words is "thirteen million, two hundred twenty-three thousand, one hundred".