13331413201 has 2 divisors, whose sum is σ = 13331413202. Its totient is φ = 13331413200.

The previous prime is 13331413163. The next prime is 13331413211. The reversal of 13331413201 is 10231413331.

13331413201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12723840000 + 607573201 = 112800^2 + 24649^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331413201 - 2¹¹ = 13331411153 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331413211) 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 as a sum of consecutive naturals, namely, 6665706600 + 6665706601.

It is an arithmetic number, because the mean of its divisors is an integer number (6665706601).

Almost surely, 2^13331413201 is an apocalyptic number.

It is an amenable number.

13331413201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331413201 is an equidigital number, since it uses as much as digits as its factorization.

13331413201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13331413201 its reverse (10231413331), we get a palindrome (23562826532).

The spelling of 13331413201 in words is "thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, two hundred one".