13412022132300 has 288 divisors, whose sum is σ = 45098183531520. Its totient is φ = 3043160121600.

The previous prime is 13412022132293. The next prime is 13412022132317. The reversal of 13412022132300 is 323122021431.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3915499 + ... + 6492701.

It is an arithmetic number, because the mean of its divisors is an integer number (156590915040).

Almost surely, 2^{13412022132300} is an apocalyptic number.

13412022132300 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 13412022132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549091765760).

13412022132300 is an abundant number, since it is smaller than the sum of its proper divisors (31686161399220).

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

13412022132300 is a wasteful number, since it uses less digits than its factorization.

13412022132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577333 (or 2577326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13412022132300 its reverse (323122021431), we get a palindrome (13735144153731).

The spelling of 13412022132300 in words is "thirteen trillion, four hundred twelve billion, twenty-two million, one hundred thirty-two thousand, three hundred".