13010413 has 8 divisors (see below), whose sum is σ = 14065688. Its totient is φ = 11962944.

The previous prime is 13010411. The next prime is 13010419. The reversal of 13010413 is 31401031.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 11377129 = 1278^2 + 3373^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13010413 - 2¹ = 13010411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 13010393 and 13010402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010411) 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 7 ways as a sum of consecutive naturals, for example, 1795 + ... + 5407.

It is an arithmetic number, because the mean of its divisors is an integer number (1758211).

Almost surely, 2^13010413 is an apocalyptic number.

13010413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13010413 is a deficient number, since it is larger than the sum of its proper divisors (1055275).

13010413 is a wasteful number, since it uses less digits than its factorization.

13010413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13010413 is about 3606.9950096999. The cubic root of 13010413 is about 235.1962326533.

Adding to 13010413 its product of nonzero digits (36), we get a square (13010449 = 3607²).

Adding to 13010413 its reverse (31401031), we get a palindrome (44411444).

The spelling of 13010413 in words is "thirteen million, ten thousand, four hundred thirteen".