13001312121009 has 16 divisors (see below), whose sum is σ = 18004289929920. Its totient is φ = 8335319384000.

The previous prime is 13001312120999. The next prime is 13001312121073. The reversal of 13001312121009 is 90012121310031.

13001312121009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13001312121009 - 2²¹ = 13001310023857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13001312121009.

It is not an unprimeable number, because it can be changed into a prime (13001312121209) 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, 297668142 + ... + 297711815.

It is an arithmetic number, because the mean of its divisors is an integer number (1125268120620).

Almost surely, 2^{13001312121009} is an apocalyptic number.

It is an amenable number.

13001312121009 is a deficient number, since it is larger than the sum of its proper divisors (5002977808911).

13001312121009 is a wasteful number, since it uses less digits than its factorization.

13001312121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595380240.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 13001312121009 in words is "thirteen trillion, one billion, three hundred twelve million, one hundred twenty-one thousand, nine".