13141128 has 128 divisors (see below), whose sum is σ = 44190720. Its totient is φ = 3144960.

The previous prime is 13141127. The next prime is 13141133. The reversal of 13141128 is 82114131.

It is a happy number.

It is a super-2 number, since 2×13141128² = 345378490224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is not an unprimeable number, because it can be changed into a prime (13141123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23751 + ... + 24297.

It is an arithmetic number, because the mean of its divisors is an integer number (345240).

Almost surely, 2^13141128 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 13141128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095360).

13141128 is an abundant number, since it is smaller than the sum of its proper divisors (31049592).

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

13141128 is a wasteful number, since it uses less digits than its factorization.

13141128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 13141128 is about 3625.0693786464. The cubic root of 13141128 is about 235.9812778407.

Adding to 13141128 its reverse (82114131), we get a palindrome (95255259).

It can be divided in two parts, 1314 and 1128, that added together give a palindrome (2442).

The spelling of 13141128 in words is "thirteen million, one hundred forty-one thousand, one hundred twenty-eight".