13002138 has 12 divisors (see below), whose sum is σ = 28171338. Its totient is φ = 4334040.

The previous prime is 13002131. The next prime is 13002139. The reversal of 13002138 is 83120031.

13002138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12341169 + 660969 = 3513^2 + 813^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 722341 = 13002138 / (1 + 3 + 0 + 0 + 2 + 1 + 3 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 13002138.

It is not an unprimeable number, because it can be changed into a prime (13002131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361153 + ... + 361188.

Almost surely, 2^13002138 is an apocalyptic number.

13002138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13002138 is an abundant number, since it is smaller than the sum of its proper divisors (15169200).

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

13002138 is a wasteful number, since it uses less digits than its factorization.

13002138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722349 (or 722346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13002138 is about 3605.8477505297. The cubic root of 13002138 is about 235.1463582028.

Adding to 13002138 its reverse (83120031), we get a palindrome (96122169).

The spelling of 13002138 in words is "thirteen million, two thousand, one hundred thirty-eight".