13000202401 has 6 divisors (see below), whose sum is σ = 13720435602. Its totient is φ = 12315980880.

The previous prime is 13000202381. The next prime is 13000202419. The reversal of 13000202401 is 10420200031.

13000202401 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., 12127295376 + 872907025 = 110124^2 + 29545^2 .

It is not a de Polignac number, because 13000202401 - 2¹⁹ = 12999678113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13000202441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18005460 + ... + 18006181.

It is an arithmetic number, because the mean of its divisors is an integer number (2286739267).

Almost surely, 2^13000202401 is an apocalyptic number.

It is an amenable number.

13000202401 is a deficient number, since it is larger than the sum of its proper divisors (720233201).

13000202401 is an equidigital number, since it uses as much as digits as its factorization.

13000202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36011679 (or 36011660 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13000202401 its reverse (10420200031), we get a palindrome (23420402432).

The spelling of 13000202401 in words is "thirteen billion, two hundred two thousand, four hundred one".