13321128 has 64 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 4155840.

The previous prime is 13321127. The next prime is 13321129. The reversal of 13321128 is 82112331.

It is an interprime number because it is at equal distance from previous prime (13321127) and next prime (13321129).

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 (13321127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59625 + ... + 59847.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 2^13321128 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 13321128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

13321128 is an abundant number, since it is smaller than the sum of its proper divisors (22160472).

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

13321128 is a wasteful number, since it uses less digits than its factorization.

13321128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 13321128 is about 3649.8120499554. The cubic root of 13321128 is about 237.0538430961.

Adding to 13321128 its reverse (82112331), we get a palindrome (95433459).

The spelling of 13321128 in words is "thirteen million, three hundred twenty-one thousand, one hundred twenty-eight".