13331332133201 has 8 divisors (see below), whose sum is σ = 13430392302024. Its totient is φ = 13232297344000.

The previous prime is 13331332133191. The next prime is 13331332133269. The reversal of 13331332133201 is 10233123313331.

13331332133201 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 4 ways, for example, as 1599337093201 + 11731995040000 = 1264649^2 + 3425200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13331332133201 - 2⁶ = 13331332133137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331332183201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289800 + ... + 7392201.

It is an arithmetic number, because the mean of its divisors is an integer number (1678799037753).

Almost surely, 2^{13331332133201} is an apocalyptic number.

It is an amenable number.

13331332133201 is a deficient number, since it is larger than the sum of its proper divisors (99060168823).

13331332133201 is a wasteful number, since it uses less digits than its factorization.

13331332133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689811.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13331332133201 its reverse (10233123313331), we get a palindrome (23564455446532).

The spelling of 13331332133201 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred one".