2101333312 has 112 divisors (see below), whose sum is σ = 4637379600. Its totient is φ = 938557440.

The previous prime is 2101333259. The next prime is 2101333349. The reversal of 2101333312 is 2133331012.

It can be written as a sum of positive squares in 8 ways, for example, as 448422976 + 1652910336 = 21176^2 + 40656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2101333312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7811514 + ... + 7811782.

It is an arithmetic number, because the mean of its divisors is an integer number (41405175).

Almost surely, 2^2101333312 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 2101333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318689800).

2101333312 is an abundant number, since it is smaller than the sum of its proper divisors (2536046288).

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

2101333312 is a wasteful number, since it uses less digits than its factorization.

2101333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2101333312 is about 45840.3022677643. The cubic root of 2101333312 is about 1280.8501253595.

Adding to 2101333312 its reverse (2133331012), we get a palindrome (4234664324).

The spelling of 2101333312 in words is "two billion, one hundred one million, three hundred thirty-three thousand, three hundred twelve".