13000040 has 16 divisors (see below), whose sum is σ = 29250180. Its totient is φ = 5200000.

The previous prime is 13000027. The next prime is 13000049. The reversal of 13000040 is 4000031.

13000040 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 2 ways, for example, as 12545764 + 454276 = 3542^2 + 674^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12999991 and 13000027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162461 + ... + 162540.

Almost surely, 2^13000040 is an apocalyptic number.

13000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000040 is an abundant number, since it is smaller than the sum of its proper divisors (16250140).

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

13000040 is a wasteful number, since it uses less digits than its factorization.

13000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325012 (or 325008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13000040 is about 3605.5568224617. The cubic root of 13000040 is about 235.1337099344.

Adding to 13000040 its reverse (4000031), we get a palindrome (17000071).

Subtracting from 13000040 its reverse (4000031), we obtain a palindrome (9000009).

The spelling of 13000040 in words is "thirteen million, forty", and thus it is an aban number and an uban number.