13354234128 has 240 divisors, whose sum is σ = 42458532480. Its totient is φ = 4044515328.

The previous prime is 13354234097. The next prime is 13354234133. The reversal of 13354234128 is 82143245331.

13354234128 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13354234092 and 13354234101.

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, 1913301 + ... + 1920267.

It is an arithmetic number, because the mean of its divisors is an integer number (176910552).

Almost surely, 2^13354234128 is an apocalyptic number.

13354234128 is a gapful number since it is divisible by the number (18) 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 13354234128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229266240).

13354234128 is an abundant number, since it is smaller than the sum of its proper divisors (29104298352).

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

13354234128 is a wasteful number, since it uses less digits than its factorization.

13354234128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7018 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13354234128 its reverse (82143245331), we get a palindrome (95497479459).

The spelling of 13354234128 in words is "thirteen billion, three hundred fifty-four million, two hundred thirty-four thousand, one hundred twenty-eight".