13213100 has 36 divisors (see below), whose sum is σ = 29091888. Its totient is φ = 5208000.

The previous prime is 13213093. The next prime is 13213121. The reversal of 13213100 is 131231.

It is a super-2 number, since 2×13213100² = 349172023220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6170 + ... + 8030.

It is an arithmetic number, because the mean of its divisors is an integer number (808108).

Almost surely, 2^13213100 is an apocalyptic number.

13213100 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 13213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545944).

13213100 is an abundant number, since it is smaller than the sum of its proper divisors (15878788).

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

13213100 is a wasteful number, since it uses less digits than its factorization.

13213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13213100 is about 3634.9828060116. The cubic root of 13213100 is about 236.4113051607.

Adding to 13213100 its reverse (131231), we get a palindrome (13344331).

The spelling of 13213100 in words is "thirteen million, two hundred thirteen thousand, one hundred".