331201333200013 has 2 divisors, whose sum is σ = 331201333200014. Its totient is φ = 331201333200012.

The previous prime is 331201333200007. The next prime is 331201333200097. The reversal of 331201333200013 is 310002333102133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259369639971849 + 71831693228164 = 16104957^2 + 8475358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331201333200013 is a prime.

It is a super-2 number, since 2×331201333200013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331201333600013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165600666600006 + 165600666600007.

It is an arithmetic number, because the mean of its divisors is an integer number (165600666600007).

Almost surely, 2^{331201333200013} is an apocalyptic number.

It is an amenable number.

331201333200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331201333200013 is an equidigital number, since it uses as much as digits as its factorization.

331201333200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 331201333200013 its reverse (310002333102133), we get a palindrome (641203666302146).

The spelling of 331201333200013 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred thirty-three million, two hundred thousand, thirteen".