13001013 has 16 divisors (see below), whose sum is σ = 19389760. Its totient is φ = 8609328.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001013 is 31010031.

It is not a de Polignac number, because 13001013 - 2¹⁰ = 12999989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000986 and 13001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001213) 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 15 ways as a sum of consecutive naturals, for example, 2706 + ... + 5772.

It is an arithmetic number, because the mean of its divisors is an integer number (1211860).

Almost surely, 2^13001013 is an apocalyptic number.

It is an amenable number.

13001013 is a deficient number, since it is larger than the sum of its proper divisors (6388747).

13001013 is a wasteful number, since it uses less digits than its factorization.

13001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13001013 is about 3605.6917505522. The cubic root of 13001013 is about 235.1395760546.

Adding to 13001013 its reverse (31010031), we get a palindrome (44011044).

The spelling of 13001013 in words is "thirteen million, one thousand, thirteen".