13300040 has 32 divisors (see below), whose sum is σ = 32228280. Its totient is φ = 4910592.

The previous prime is 13300039. The next prime is 13300043. The reversal of 13300040 is 4000331.

It can be written as a sum of positive squares in 4 ways, for example, as 4502884 + 8797156 = 2122^2 + 2966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13299994 and 13300030.

It is not an unprimeable number, because it can be changed into a prime (13300043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12269 + ... + 13308.

Almost surely, 2^13300040 is an apocalyptic number.

13300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300040 is an abundant number, since it is smaller than the sum of its proper divisors (18928240).

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

13300040 is a wasteful number, since it uses less digits than its factorization.

13300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25601 (or 25597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13300040 is about 3646.9219898429. The cubic root of 13300040 is about 236.9286877377.

Adding to 13300040 its reverse (4000331), we get a palindrome (17300371).

The spelling of 13300040 in words is "thirteen million, three hundred thousand, forty".