1033312141312 has 304 divisors, whose sum is σ = 2421652292928. Its totient is φ = 435704299520.

The previous prime is 1033312141237. The next prime is 1033312141403. The reversal of 1033312141312 is 2131412133301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5245239198 + ... + 5245239394.

Almost surely, 2^{1033312141312} 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 1033312141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210826146464).

1033312141312 is an abundant number, since it is smaller than the sum of its proper divisors (1388340151616).

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

1033312141312 is an equidigital number, since it uses as much as digits as its factorization.

1033312141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1033312141312 its reverse (2131412133301), we get a palindrome (3164724274613).

The spelling of 1033312141312 in words is "one trillion, thirty-three billion, three hundred twelve million, one hundred forty-one thousand, three hundred twelve".