13214142200 has 96 divisors (see below), whose sum is σ = 35322739200. Its totient is φ = 4503354240.

The previous prime is 13214142199. The next prime is 13214142257. The reversal of 13214142200 is 224141231.

It is a super-2 number, since 2×13214142200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205541 + ... + 262059.

It is an arithmetic number, because the mean of its divisors is an integer number (367945200).

Almost surely, 2^13214142200 is an apocalyptic number.

13214142200 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 13214142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661369600).

13214142200 is an abundant number, since it is smaller than the sum of its proper divisors (22108597000).

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

13214142200 is a wasteful number, since it uses less digits than its factorization.

13214142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56709 (or 56700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13214142200 its reverse (224141231), we get a palindrome (13438283431).

The spelling of 13214142200 in words is "thirteen billion, two hundred fourteen million, one hundred forty-two thousand, two hundred".