13022323200000 has 468 divisors, whose sum is σ = 47016722323116. Its totient is φ = 3472588800000.

The previous prime is 13022323199981. The next prime is 13022323200011. The reversal of 13022323200000 is 232322031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9791992774656 + 3230330425344 = 3129216^2 + 1797312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115143480 + ... + 115256520.

It is an arithmetic number, because the mean of its divisors is an integer number (100463081887).

Almost surely, 2^{13022323200000} is an apocalyptic number.

13022323200000 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 13022323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508361161558).

13022323200000 is an abundant number, since it is smaller than the sum of its proper divisors (33994399123116).

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

13022323200000 is an frugal number, since it uses more digits than its factorization.

13022323200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113096 (or 113051 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13022323200000 its reverse (232322031), we get a palindrome (13022555522031).

The spelling of 13022323200000 in words is "thirteen trillion, twenty-two billion, three hundred twenty-three million, two hundred thousand".