3121313120 has 96 divisors (see below), whose sum is σ = 7680718080. Its totient is φ = 1197342720.

The previous prime is 3121313093. The next prime is 3121313131. The reversal of 3121313120 is 213131213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557696 + ... + 563264.

It is an arithmetic number, because the mean of its divisors is an integer number (80007480).

Almost surely, 2^3121313120 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 3121313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840359040).

3121313120 is an abundant number, since it is smaller than the sum of its proper divisors (4559404960).

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

3121313120 is a wasteful number, since it uses less digits than its factorization.

3121313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3121313120 is about 55868.7132481141. The cubic root of 3121313120 is about 1461.4336827108.

Adding to 3121313120 its reverse (213131213), we get a palindrome (3334444333).

The spelling of 3121313120 in words is "three billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".