13223221000434 has 128 divisors (see below), whose sum is σ = 30548232000000. Its totient is φ = 4234767360768.

The previous prime is 13223221000403. The next prime is 13223221000471. The reversal of 13223221000434 is 43400012232231.

13223221000434 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 221 + 0 + 0 + 0 + 434 = 666.

13223221000434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13223221000398 and 13223221000407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698929227 + ... + 698948145.

It is an arithmetic number, because the mean of its divisors is an integer number (238658062500).

Almost surely, 2^{13223221000434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223221000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274116000000).

13223221000434 is an abundant number, since it is smaller than the sum of its proper divisors (17325010999566).

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

13223221000434 is a wasteful number, since it uses less digits than its factorization.

13223221000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21137 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13223221000434 its reverse (43400012232231), we get a palindrome (56623233232665).

The spelling of 13223221000434 in words is "thirteen trillion, two hundred twenty-three billion, two hundred twenty-one million, four hundred thirty-four", and thus it is an aban number.