13183128 has 64 divisors (see below), whose sum is σ = 41856000. Its totient is φ = 3766176.

The previous prime is 13183123. The next prime is 13183129. The reversal of 13183128 is 82138131.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13183123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2848 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (654000).

Almost surely, 2^13183128 is an apocalyptic number.

13183128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13183128 is an abundant number, since it is smaller than the sum of its proper divisors (28672872).

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

13183128 is a wasteful number, since it uses less digits than its factorization.

13183128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8731 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 13183128 is about 3630.8577498988. The cubic root of 13183128 is about 236.2324149169.

The spelling of 13183128 in words is "thirteen million, one hundred eighty-three thousand, one hundred twenty-eight".