13006270001 has 16 divisors (see below), whose sum is σ = 13716540240. Its totient is φ = 12314695680.

The previous prime is 13006269973. The next prime is 13006270009. The reversal of 13006270001 is 10007260031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1281711601 + 11724558400 = 35801^2 + 108280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13006270001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13006270009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585245 + ... + 607061.

It is an arithmetic number, because the mean of its divisors is an integer number (857283765).

Almost surely, 2^13006270001 is an apocalyptic number.

It is an amenable number.

13006270001 is a deficient number, since it is larger than the sum of its proper divisors (710270239).

13006270001 is a wasteful number, since it uses less digits than its factorization.

13006270001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244.

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 13006270001 in words is "thirteen billion, six million, two hundred seventy thousand, one".