13128623088 has 160 divisors (see below), whose sum is σ = 39846782976. Its totient is φ = 3646750464.

The previous prime is 13128623083. The next prime is 13128623119. The reversal of 13128623088 is 88032682131.

13128623088 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128623083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3277695 + ... + 3281697.

Almost surely, 2^13128623088 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 13128623088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923391488).

13128623088 is an abundant number, since it is smaller than the sum of its proper divisors (26718159888).

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

13128623088 is a wasteful number, since it uses less digits than its factorization.

13128623088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 13128623088 in words is "thirteen billion, one hundred twenty-eight million, six hundred twenty-three thousand, eighty-eight".