3133020242144 has 192 divisors, whose sum is σ = 6891108618240. Its totient is φ = 1392954071040.

The previous prime is 3133020242111. The next prime is 3133020242167. The reversal of 3133020242144 is 4412420203313.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1017543197 + ... + 1017546275.

It is an arithmetic number, because the mean of its divisors is an integer number (35891190720).

Almost surely, 2^{3133020242144} 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 3133020242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445554309120).

3133020242144 is an abundant number, since it is smaller than the sum of its proper divisors (3758088376096).

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

3133020242144 is a wasteful number, since it uses less digits than its factorization.

3133020242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3133020242144 its reverse (4412420203313), we get a palindrome (7545440445457).

The spelling of 3133020242144 in words is "three trillion, one hundred thirty-three billion, twenty million, two hundred forty-two thousand, one hundred forty-four".