1042133312 has 84 divisors (see below), whose sum is σ = 2372307168. Its totient is φ = 453024000.

The previous prime is 1042133311. The next prime is 1042133341. The reversal of 1042133312 is 2133312401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042133311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175187 + ... + 181037.

It is an arithmetic number, because the mean of its divisors is an integer number (28241752).

Almost surely, 2^1042133312 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 1042133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186153584).

1042133312 is an abundant number, since it is smaller than the sum of its proper divisors (1330173856).

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

1042133312 is a wasteful number, since it uses less digits than its factorization.

1042133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1042133312 is about 32282.0896473571. The cubic root of 1042133312 is about 1013.8516823268.

Adding to 1042133312 its reverse (2133312401), we get a palindrome (3175445713).

Subtracting 1042133312 from its reverse (2133312401), we obtain a square (1091179089 = 33033²).

The spelling of 1042133312 in words is "one billion, forty-two million, one hundred thirty-three thousand, three hundred twelve".