13006413 has 60 divisors (see below), whose sum is σ = 23587740. Its totient is φ = 7112448.

The previous prime is 13006387. The next prime is 13006421. The reversal of 13006413 is 31460031.

13006413 = 109³ + 110³ + ... + 117³.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 10323369 = 1638^2 + 3213^2 .

It is not a de Polignac number, because 13006413 - 2⁵ = 13006381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006423) 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 59 ways as a sum of consecutive naturals, for example, 115045 + ... + 115157.

It is an arithmetic number, because the mean of its divisors is an integer number (393129).

Almost surely, 2^13006413 is an apocalyptic number.

It is an amenable number.

13006413 is a deficient number, since it is larger than the sum of its proper divisors (10581327).

13006413 is a wasteful number, since it uses less digits than its factorization.

13006413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13006413 is about 3606.4404889032. The cubic root of 13006413 is about 235.1721267990.

Adding to 13006413 its reverse (31460031), we get a palindrome (44466444).

The spelling of 13006413 in words is "thirteen million, six thousand, four hundred thirteen".