3121131012320 has 192 divisors, whose sum is σ = 7884424396800. Its totient is φ = 1164083374080.

The previous prime is 3121131012319. The next prime is 3121131012323. The reversal of 3121131012320 is 232101311213.

It is a happy number.

3121131012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3121131012292 and 3121131012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121131012323) 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, 260500730 + ... + 260512710.

It is an arithmetic number, because the mean of its divisors is an integer number (41064710400).

Almost surely, 2^{3121131012320} 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 3121131012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942212198400).

3121131012320 is an abundant number, since it is smaller than the sum of its proper divisors (4763293384480).

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

3121131012320 is a wasteful number, since it uses less digits than its factorization.

3121131012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3121131012320 its reverse (232101311213), we get a palindrome (3353232323533).

The spelling of 3121131012320 in words is "three trillion, one hundred twenty-one billion, one hundred thirty-one million, twelve thousand, three hundred twenty".