13073104128 has 288 divisors, whose sum is σ = 42219555840. Its totient is φ = 3507978240.

The previous prime is 13073104087. The next prime is 13073104129. The reversal of 13073104128 is 82140137031.

It is a junction number, because it is equal to n+sod(n) for n = 13073104095 and 13073104104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13073104129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13380376 + ... + 13381352.

It is an arithmetic number, because the mean of its divisors is an integer number (146595680).

Almost surely, 2^13073104128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13073104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109777920).

13073104128 is an abundant number, since it is smaller than the sum of its proper divisors (29146451712).

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

13073104128 is a wasteful number, since it uses less digits than its factorization.

13073104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 13073104128 in words is "thirteen billion, seventy-three million, one hundred four thousand, one hundred twenty-eight".