2033131420112 has 180 divisors, whose sum is σ = 4540297738284. Its totient is φ = 876630159360.

The previous prime is 2033131420081. The next prime is 2033131420127. The reversal of 2033131420112 is 2110241313302.

It can be written as a sum of positive squares in 6 ways, for example, as 214150519696 + 1818980900416 = 462764^2 + 1348696^2 .

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 35 ways as a sum of consecutive naturals, for example, 400141412 + ... + 400146492.

Almost surely, 2^{2033131420112} 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 2033131420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270148869142).

2033131420112 is an abundant number, since it is smaller than the sum of its proper divisors (2507166318172).

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

2033131420112 is a wasteful number, since it uses less digits than its factorization.

2033131420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2033131420112 its reverse (2110241313302), we get a palindrome (4143372733414).

The spelling of 2033131420112 in words is "two trillion, thirty-three billion, one hundred thirty-one million, four hundred twenty thousand, one hundred twelve".