13002122312001 has 6 divisors (see below), whose sum is σ = 18780843339570. Its totient is φ = 8668081541328.

The previous prime is 13002122311991. The next prime is 13002122312033. The reversal of 13002122312001 is 10021322120031.

13002122312001 is a `hidden beast` number, since 1 + 300 + 21 + 223 + 120 + 0 + 1 = 666.

13002122312001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12832164004401 + 169958307600 = 3582201^2 + 412260^2 .

It is not a de Polignac number, because 13002122312001 - 2⁹ = 13002122311489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002122312051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722340128436 + ... + 722340128453.

It is an arithmetic number, because the mean of its divisors is an integer number (3130140556595).

Almost surely, 2^{13002122312001} is an apocalyptic number.

It is an amenable number.

13002122312001 is a deficient number, since it is larger than the sum of its proper divisors (5778721027569).

13002122312001 is a wasteful number, since it uses less digits than its factorization.

13002122312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444680256895 (or 1444680256892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13002122312001 its reverse (10021322120031), we get a palindrome (23023444432032).

The spelling of 13002122312001 in words is "thirteen trillion, two billion, one hundred twenty-two million, three hundred twelve thousand, one".