3133210131120 has 320 divisors, whose sum is σ = 10218555970560. Its totient is φ = 792639074304.

The previous prime is 3133210131109. The next prime is 3133210131133. The reversal of 3133210131120 is 211310123313.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225344882 + ... + 1225347438.

It is an arithmetic number, because the mean of its divisors is an integer number (31932987408).

Almost surely, 2^{3133210131120} is an apocalyptic number.

3133210131120 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 3133210131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109277985280).

3133210131120 is an abundant number, since it is smaller than the sum of its proper divisors (7085345839440).

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

3133210131120 is a wasteful number, since it uses less digits than its factorization.

3133210131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3133210131120 its reverse (211310123313), we get a palindrome (3344520254433).

The spelling of 3133210131120 in words is "three trillion, one hundred thirty-three billion, two hundred ten million, one hundred thirty-one thousand, one hundred twenty".