13288128128 has 32 divisors (see below), whose sum is σ = 28879031520. Its totient is φ = 6040057600.

The previous prime is 13288128127. The next prime is 13288128131. The reversal of 13288128128 is 82182188231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13288128128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (13288128121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4717388 + ... + 4720203.

It is an arithmetic number, because the mean of its divisors is an integer number (902469735).

Almost surely, 2^13288128128 is an apocalyptic number.

It is an amenable number.

13288128128 is an abundant number, since it is smaller than the sum of its proper divisors (15590903392).

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

13288128128 is an equidigital number, since it uses as much as digits as its factorization.

13288128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437616 (or 9437604 counting only the distinct ones).

The product of its digits is 98304, while the sum is 44.

The spelling of 13288128128 in words is "thirteen billion, two hundred eighty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".