331003313001313 has 32 divisors (see below), whose sum is σ = 346896482549760. Its totient is φ = 315610865968320.

The previous prime is 331003313001293. The next prime is 331003313001353. The reversal of 331003313001313 is 313100313300133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331003313001313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331003313001353) 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 31 ways as a sum of consecutive naturals, for example, 104373318 + ... + 107497888.

It is an arithmetic number, because the mean of its divisors is an integer number (10840515079680).

Almost surely, 2^{331003313001313} is an apocalyptic number.

It is an amenable number.

331003313001313 is a deficient number, since it is larger than the sum of its proper divisors (15893169548447).

331003313001313 is a wasteful number, since it uses less digits than its factorization.

331003313001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125077.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 331003313001313 its reverse (313100313300133), we get a palindrome (644103626301446).

The spelling of 331003313001313 in words is "three hundred thirty-one trillion, three billion, three hundred thirteen million, one thousand, three hundred thirteen".