3131323031220 has 192 divisors, whose sum is σ = 8895149899776. Its totient is φ = 822981358080.

The previous prime is 3131323031203. The next prime is 3131323031233. The reversal of 3131323031220 is 221303231313.

3131323031220 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1998290877 + ... + 1998292443.

It is an arithmetic number, because the mean of its divisors is an integer number (46328905728).

Almost surely, 2^{3131323031220} is an apocalyptic number.

3131323031220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131323031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447574949888).

3131323031220 is an abundant number, since it is smaller than the sum of its proper divisors (5763826868556).

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

3131323031220 is a wasteful number, since it uses less digits than its factorization.

3131323031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3131323031220 its reverse (221303231313), we get a palindrome (3352626262533).

The spelling of 3131323031220 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-three million, thirty-one thousand, two hundred twenty".