13129128 has 40 divisors (see below), whose sum is σ = 36775530. Its totient is φ = 4376160.

The previous prime is 13129111. The next prime is 13129201. The reversal of 13129128 is 82192131.

It can be written as a sum of positive squares in only one way, i.e., 13089924 + 39204 = 3618^2 + 198^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9483 + ... + 10778.

Almost surely, 2^13129128 is an apocalyptic number.

13129128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13129128 is an abundant number, since it is smaller than the sum of its proper divisors (23646402).

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

13129128 is a wasteful number, since it uses less digits than its factorization.

13129128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279 (or 20266 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13129128 is about 3623.4138598841. The cubic root of 13129128 is about 235.9094261262.

It can be divided in two parts, 1312 and 9128, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 13129128 in words is "thirteen million, one hundred twenty-nine thousand, one hundred twenty-eight".