13006200 has 96 divisors (see below), whose sum is σ = 41180400. Its totient is φ = 3394560.

The previous prime is 13006199. The next prime is 13006219. The reversal of 13006200 is 260031.

It is a super-2 number, since 2×13006200² = 338322476880000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31596 + ... + 32004.

Almost surely, 2^13006200 is an apocalyptic number.

13006200 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 13006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590200).

13006200 is an abundant number, since it is smaller than the sum of its proper divisors (28174200).

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

13006200 is a wasteful number, since it uses less digits than its factorization.

13006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

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

The square root of 13006200 is about 3606.4109582797. The cubic root of 13006200 is about 235.1708430236.

Adding to 13006200 its reverse (260031), we get a palindrome (13266231).

The spelling of 13006200 in words is "thirteen million, six thousand, two hundred".