13001007 has 16 divisors (see below), whose sum is σ = 17937920. Its totient is φ = 8370432.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001007 is 70010031.

13001007 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001007 - 2⁶ = 13000943 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000983 and 13001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001057) 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, 11994 + ... + 13032.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 2^13001007 is an apocalyptic number.

13001007 is a deficient number, since it is larger than the sum of its proper divisors (4936913).

13001007 is a wasteful number, since it uses less digits than its factorization.

13001007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13001007 is about 3605.6909185342. The cubic root of 13001007 is about 235.1395398821.

Adding to 13001007 its reverse (70010031), we get a palindrome (83011038).

The spelling of 13001007 in words is "thirteen million, one thousand, seven".