332332120113013 has 2 divisors, whose sum is σ = 332332120113014. Its totient is φ = 332332120113012.

The previous prime is 332332120112903. The next prime is 332332120113047. The reversal of 332332120113013 is 310311021233233.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301238303263524 + 31093816849489 = 17356218^2 + 5576183^2 .

It is an emirp because it is prime and its reverse (310311021233233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-332332120113013 is a prime.

It is a super-2 number, since 2×332332120113013² (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 (332332120113713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166166060056506 + 166166060056507.

It is an arithmetic number, because the mean of its divisors is an integer number (166166060056507).

Almost surely, 2^{332332120113013} is an apocalyptic number.

It is an amenable number.

332332120113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

332332120113013 is an equidigital number, since it uses as much as digits as its factorization.

332332120113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 332332120113013 its reverse (310311021233233), we get a palindrome (642643141346246).

The spelling of 332332120113013 in words is "three hundred thirty-two trillion, three hundred thirty-two billion, one hundred twenty million, one hundred thirteen thousand, thirteen".