13001005 has 8 divisors (see below), whose sum is σ = 16519032. Its totient is φ = 9788928.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001005 is 50010031.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324 + 11964681 = 1018^2 + 3459^2 .

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 13001005 - 2⁵ = 13000973 is a prime.

It is a super-2 number, since 2×13001005² = 338052262020050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000982 and 13001000.

It is a congruent number.

It is an unprimeable number.

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, 76392 + ... + 76561.

It is an arithmetic number, because the mean of its divisors is an integer number (2064879).

Almost surely, 2^13001005 is an apocalyptic number.

It is an amenable number.

13001005 is a deficient number, since it is larger than the sum of its proper divisors (3518027).

13001005 is a wasteful number, since it uses less digits than its factorization.

13001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152975.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 13001005 is about 3605.6906411948. The cubic root of 13001005 is about 235.1395278246.

Adding to 13001005 its reverse (50010031), we get a palindrome (63011036).

The spelling of 13001005 in words is "thirteen million, one thousand, five".