31323220313013 has 12 divisors (see below), whose sum is σ = 45313938940140. Its totient is φ = 20850168086016.

The previous prime is 31323220312889. The next prime is 31323220313039. The reversal of 31323220313013 is 31031302232313.

31323220313013 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 322 + 0 + 31 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8096767812324 + 23226452500689 = 2845482^2 + 4819383^2 .

It is not a de Polignac number, because 31323220313013 - 2³⁰ = 31322146571189 is a prime.

It is a super-3 number, since 3×31323220313013³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31323220313083) 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, 2664892908 + ... + 2664904661.

It is an arithmetic number, because the mean of its divisors is an integer number (3776161578345).

Almost surely, 2^{31323220313013} is an apocalyptic number.

It is an amenable number.

31323220313013 is a deficient number, since it is larger than the sum of its proper divisors (13990718627127).

31323220313013 is a wasteful number, since it uses less digits than its factorization.

31323220313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329798228 (or 5329798225 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31323220313013 its reverse (31031302232313), we get a palindrome (62354522545326).

It can be divided in two parts, 31323 and 220313013, that added together give a square (220344336 = 14844²).

The spelling of 31323220313013 in words is "thirty-one trillion, three hundred twenty-three billion, two hundred twenty million, three hundred thirteen thousand, thirteen".