1021133312 has 40 divisors (see below), whose sum is σ = 2063288700. Its totient is φ = 504807424.

The previous prime is 1021133303. The next prime is 1021133371. The reversal of 1021133312 is 2133311201.

It can be written as a sum of positive squares in 2 ways, for example, as 1002608896 + 18524416 = 31664^2 + 4304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34364 + ... + 56772.

Almost surely, 2^1021133312 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 1021133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031644350).

1021133312 is an abundant number, since it is smaller than the sum of its proper divisors (1042155388).

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

1021133312 is an frugal number, since it uses more digits than its factorization.

1021133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22516 (or 22500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1021133312 is about 31955.1766072416. The cubic root of 1021133312 is about 1006.9953877757.

Adding to 1021133312 its reverse (2133311201), we get a palindrome (3154444513).

The spelling of 1021133312 in words is "one billion, twenty-one million, one hundred thirty-three thousand, three hundred twelve".