331212202013313 has 12 divisors (see below), whose sum is σ = 478419003563748. Its totient is φ = 220807498475520.

The previous prime is 331212202013269. The next prime is 331212202013353. The reversal of 331212202013313 is 313310202212133.

331212202013313 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 122 + 0 + 201 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 284103430415424 + 47108771597889 = 16855368^2 + 6863583^2 .

It is not a de Polignac number, because 331212202013313 - 2³⁰ = 331211128271489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331212202013353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49708608 + ... + 55976513.

It is an arithmetic number, because the mean of its divisors is an integer number (39868250296979).

Almost surely, 2^{331212202013313} is an apocalyptic number.

It is an amenable number.

331212202013313 is a deficient number, since it is larger than the sum of its proper divisors (147206801550435).

331212202013313 is a wasteful number, since it uses less digits than its factorization.

331212202013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106033344 (or 106033341 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331212202013313 its reverse (313310202212133), we get a palindrome (644522404225446).

The spelling of 331212202013313 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred two million, thirteen thousand, three hundred thirteen".