3121313311000 has 128 divisors (see below), whose sum is σ = 7333375046400. Its totient is φ = 1243489228800.

The previous prime is 3121313310979. The next prime is 3121313311009. The reversal of 3121313311000 is 1133131213.

3121313311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121313311009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448525521 + ... + 448532479.

It is an arithmetic number, because the mean of its divisors is an integer number (57291992550).

Almost surely, 2^{3121313311000} 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 3121313311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666687523200).

3121313311000 is an abundant number, since it is smaller than the sum of its proper divisors (4212061735400).

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

3121313311000 is a wasteful number, since it uses less digits than its factorization.

3121313311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3121313311000 its reverse (1133131213), we get a palindrome (3122446442213).

The spelling of 3121313311000 in words is "three trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred eleven thousand".