13431024 has 60 divisors (see below), whose sum is σ = 39574600. Its totient is φ = 4240512.

The previous prime is 13431017. The next prime is 13431053. The reversal of 13431024 is 42013431.

13431024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13430988 and 13431006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 5190.

Almost surely, 2^13431024 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 13431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787300).

13431024 is an abundant number, since it is smaller than the sum of its proper divisors (26143576).

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

13431024 is a wasteful number, since it uses less digits than its factorization.

13431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13431024 is about 3664.8361491341. The cubic root of 13431024 is about 237.7039371133.

Adding to 13431024 its reverse (42013431), we get a palindrome (55444455).

The spelling of 13431024 in words is "thirteen million, four hundred thirty-one thousand, twenty-four".