3133312000013 has 8 divisors (see below), whose sum is σ = 3572826353208. Its totient is φ = 2722153411584.

The previous prime is 3133311999997. The next prime is 3133312000031. The reversal of 3133312000013 is 3100002133313.

3133312000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128764710244 + 3004547289769 = 358838^2 + 1733363^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3133312000013 - 2⁴ = 3133311999997 is a prime.

It is a super-2 number, since 2×3133312000013² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133312003013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7088940956 + ... + 7088941397.

It is an arithmetic number, because the mean of its divisors is an integer number (446603294151).

Almost surely, 2^{3133312000013} is an apocalyptic number.

It is an amenable number.

3133312000013 is a deficient number, since it is larger than the sum of its proper divisors (439514353195).

3133312000013 is a wasteful number, since it uses less digits than its factorization.

3133312000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177882383.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3133312000013 its reverse (3100002133313), we get a palindrome (6233314133326).

The spelling of 3133312000013 in words is "three trillion, one hundred thirty-three billion, three hundred twelve million, thirteen", and thus it is an aban number.