2033313312 has 96 divisors (see below), whose sum is σ = 5526710784. Its totient is φ = 653875200.

The previous prime is 2033313263. The next prime is 2033313319. The reversal of 2033313312 is 2133133302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2033313312³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2033313319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180612 + ... + 1182332.

It is an arithmetic number, because the mean of its divisors is an integer number (57569904).

Almost surely, 2^2033313312 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 2033313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763355392).

2033313312 is an abundant number, since it is smaller than the sum of its proper divisors (3493397472).

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

2033313312 is a wasteful number, since it uses less digits than its factorization.

2033313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2033313312 is about 45092.2755247504. The cubic root of 2033313312 is about 1266.8779227824.

Adding to 2033313312 its reverse (2133133302), we get a palindrome (4166446614).

The spelling of 2033313312 in words is "two billion, thirty-three million, three hundred thirteen thousand, three hundred twelve".