13206900 has 144 divisors (see below), whose sum is σ = 46108160. Its totient is φ = 2851200.

The previous prime is 13206889. The next prime is 13206917. The reversal of 13206900 is 960231.

It is a super-2 number, since 2×13206900² = 348844415220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39735 + ... + 40065.

Almost surely, 2^13206900 is an apocalyptic number.

13206900 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 13206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23054080).

13206900 is an abundant number, since it is smaller than the sum of its proper divisors (32901260).

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

13206900 is a wasteful number, since it uses less digits than its factorization.

13206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13206900 is about 3634.1298821038. The cubic root of 13206900 is about 236.3743221814.

The spelling of 13206900 in words is "thirteen million, two hundred six thousand, nine hundred".