13202213200 has 180 divisors, whose sum is σ = 35719643484. Its totient is φ = 4683008000.

The previous prime is 13202213197. The next prime is 13202213203. The reversal of 13202213200 is 231220231.

It is an interprime number because it is at equal distance from previous prime (13202213197) and next prime (13202213203).

It can be written as a sum of positive squares in 6 ways, for example, as 5983331904 + 7218881296 = 77352^2 + 84964^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202213203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1981074 + ... + 1987726.

Almost surely, 2^13202213200 is an apocalyptic number.

13202213200 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 13202213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859821742).

13202213200 is an abundant number, since it is smaller than the sum of its proper divisors (22517430284).

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

13202213200 is a wasteful number, since it uses less digits than its factorization.

13202213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13202213200 its reverse (231220231), we get a palindrome (13433433431).

The spelling of 13202213200 in words is "thirteen billion, two hundred two million, two hundred thirteen thousand, two hundred".