13213001200 has 120 divisors (see below), whose sum is σ = 36377770880. Its totient is φ = 4517856000.

The previous prime is 13213001183. The next prime is 13213001237. The reversal of 13213001200 is 210031231.

13213001200 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 2×13213001200² (a number of 21 digits) 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054975 + ... + 1067425.

Almost surely, 2^13213001200 is an apocalyptic number.

13213001200 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 13213001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188885440).

13213001200 is an abundant number, since it is smaller than the sum of its proper divisors (23164769680).

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

13213001200 is a wasteful number, since it uses less digits than its factorization.

13213001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13213001200 its reverse (210031231), we get a palindrome (13423032431).

It can be divided in two parts, 1321300 and 1200, that added together give a square (1322500 = 1150²).

The spelling of 13213001200 in words is "thirteen billion, two hundred thirteen million, one thousand, two hundred".