3181000000000 has 200 divisors, whose sum is σ = 7947230631516. Its totient is φ = 1272000000000.

The previous prime is 3180999999979. The next prime is 3181000000007. The reversal of 3181000000000 is 1813.

It can be written as a sum of positive squares in 10 ways, for example, as 1251212267776 + 1929787732224 = 1118576^2 + 1389168^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×3181000000000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3181000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999998410 + ... + 1000001590.

Almost surely, 2^{3181000000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3181000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973615315758).

3181000000000 is an abundant number, since it is smaller than the sum of its proper divisors (4766230631516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3181000000000 is an frugal number, since it uses more digits than its factorization.

3181000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 3181000000000 its reverse (1813), we get a palindrome (3181000001813).

The spelling of 3181000000000 in words is "three trillion, one hundred eighty-one billion", and thus it is an aban number.