13331322400201 has 32 divisors (see below), whose sum is σ = 15600779264000. Its totient is φ = 11281475154240.

The previous prime is 13331322400037. The next prime is 13331322400211. The reversal of 13331322400201 is 10200422313331.

It is a cyclic number.

It is not a de Polignac number, because 13331322400201 - 2¹³ = 13331322392009 is a prime.

It is a super-3 number, since 3×13331322400201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13331322400211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189850840 + ... + 189921046.

It is an arithmetic number, because the mean of its divisors is an integer number (487524352000).

Almost surely, 2^{13331322400201} is an apocalyptic number.

It is an amenable number.

13331322400201 is a deficient number, since it is larger than the sum of its proper divisors (2269456863799).

13331322400201 is a wasteful number, since it uses less digits than its factorization.

13331322400201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95069.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13331322400201 its reverse (10200422313331), we get a palindrome (23531744713532).

The spelling of 13331322400201 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty-two million, four hundred thousand, two hundred one".