331013001213 has 24 divisors (see below), whose sum is σ = 479212526520. Its totient is φ = 220175953920.

The previous prime is 331013001203. The next prime is 331013001217. The reversal of 331013001213 is 312100310133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120788917209 + 210224084004 = 347547^2 + 458502^2 .

It is not a de Polignac number, because 331013001213 - 2⁵ = 331013001181 is a prime.

It is a super-3 number, since 3×331013001213³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331013001217) 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 23 ways as a sum of consecutive naturals, for example, 15805533 + ... + 15826461.

It is an arithmetic number, because the mean of its divisors is an integer number (19967188605).

Almost surely, 2^331013001213 is an apocalyptic number.

It is an amenable number.

331013001213 is a deficient number, since it is larger than the sum of its proper divisors (148199525307).

331013001213 is a wasteful number, since it uses less digits than its factorization.

331013001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829 (or 24826 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331013001213 its reverse (312100310133), we get a palindrome (643113311346).

The spelling of 331013001213 in words is "three hundred thirty-one billion, thirteen million, one thousand, two hundred thirteen".