13234420102200 has 192 divisors, whose sum is σ = 45848023038720. Its totient is φ = 3130091904000.

The previous prime is 13234420102121. The next prime is 13234420102213. The reversal of 13234420102200 is 220102443231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 24183244 + ... + 24724443.

It is an arithmetic number, because the mean of its divisors is an integer number (238791786660).

Almost surely, 2^{13234420102200} is an apocalyptic number.

13234420102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13234420102200 is an abundant number, since it is smaller than the sum of its proper divisors (32613602936520).

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

13234420102200 is a wasteful number, since it uses less digits than its factorization.

13234420102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48907758 (or 48907749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13234420102200 its reverse (220102443231), we get a palindrome (13454522545431).

The spelling of 13234420102200 in words is "thirteen trillion, two hundred thirty-four billion, four hundred twenty million, one hundred two thousand, two hundred".