13001313 has 8 divisors (see below), whose sum is σ = 18668608. Its totient is φ = 8000784.

The previous prime is 13001291. The next prime is 13001321. The reversal of 13001313 is 31310031.

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

It is not a de Polignac number, because 13001313 - 2⁸ = 13001057 is a prime.

It is a Duffinian number.

13001313 is a modest number, since divided by 1313 gives 1300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13001323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166645 + ... + 166722.

It is an arithmetic number, because the mean of its divisors is an integer number (2333576).

Almost surely, 2^13001313 is an apocalyptic number.

13001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13001313 is a deficient number, since it is larger than the sum of its proper divisors (5667295).

13001313 is a wasteful number, since it uses less digits than its factorization.

13001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333383.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13001313 is about 3605.7333512061. The cubic root of 13001313 is about 235.1413846657.

Adding to 13001313 its reverse (31310031), we get a palindrome (44311344).

The spelling of 13001313 in words is "thirteen million, one thousand, three hundred thirteen".