3121330210020 has 288 divisors, whose sum is σ = 10545772962816. Its totient is φ = 740923603200.

The previous prime is 3121330209997. The next prime is 3121330210027. The reversal of 3121330210020 is 200120331213.

3121330210020 is a `hidden beast` number, since 3 + 121 + 330 + 210 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3121330209975 and 3121330210002.

It is not an unprimeable number, because it can be changed into a prime (3121330210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22083775 + ... + 22224665.

It is an arithmetic number, because the mean of its divisors is an integer number (36617267232).

Almost surely, 2^{3121330210020} is an apocalyptic number.

3121330210020 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 3121330210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272886481408).

3121330210020 is an abundant number, since it is smaller than the sum of its proper divisors (7424442752796).

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

3121330210020 is a wasteful number, since it uses less digits than its factorization.

3121330210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141151 (or 141146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3121330210020 its reverse (200120331213), we get a palindrome (3321450541233).

The spelling of 3121330210020 in words is "three trillion, one hundred twenty-one billion, three hundred thirty million, two hundred ten thousand, twenty".