13013007 has 16 divisors (see below), whose sum is σ = 20996352. Its totient is φ = 6998400.

The previous prime is 13012999. The next prime is 13013023. The reversal of 13013007 is 70031031.

It is not a de Polignac number, because 13013007 - 2³ = 13012999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17869 + ... + 18582.

It is an arithmetic number, because the mean of its divisors is an integer number (1312272).

Almost surely, 2^13013007 is an apocalyptic number.

13013007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13013007 is a deficient number, since it is larger than the sum of its proper divisors (7983345).

13013007 is a wasteful number, since it uses less digits than its factorization.

13013007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36478.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 13013007 is about 3607.3545708732. The cubic root of 13013007 is about 235.2118626589.

Adding to 13013007 its reverse (70031031), we get a palindrome (83044038).

The spelling of 13013007 in words is "thirteen million, thirteen thousand, seven".