13032138 has 48 divisors (see below), whose sum is σ = 31929120. Its totient is φ = 3525984.

The previous prime is 13032133. The next prime is 13032143. The reversal of 13032138 is 83123031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13032133) and next prime (13032143).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13032133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4420 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (665190).

Almost surely, 2^13032138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964560).

13032138 is an abundant number, since it is smaller than the sum of its proper divisors (18896982).

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

13032138 is a wasteful number, since it uses less digits than its factorization.

13032138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13032138 is about 3610.0052631541. The cubic root of 13032138 is about 235.3270713575.

Adding to 13032138 its reverse (83123031), we get a palindrome (96155169).

The spelling of 13032138 in words is "thirteen million, thirty-two thousand, one hundred thirty-eight".