13081824 has 180 divisors, whose sum is σ = 45189144. Its totient is φ = 3701376.

The previous prime is 13081807. The next prime is 13081841. The reversal of 13081824 is 42818031.

13081824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13081807) and next prime (13081841).

It is a super-2 number, since 2×13081824² = 342268238333952, which contains 22 as substring.

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

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126957 + ... + 127059.

Almost surely, 2^13081824 is an apocalyptic number.

13081824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594572).

13081824 is an abundant number, since it is smaller than the sum of its proper divisors (32107320).

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

13081824 is a wasteful number, since it uses less digits than its factorization.

13081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13081824 is about 3616.8804237906. The cubic root of 13081824 is about 235.6257594367.

Adding to 13081824 its reverse (42818031), we get a palindrome (55899855).

The spelling of 13081824 in words is "thirteen million, eighty-one thousand, eight hundred twenty-four".