33313321312 has 144 divisors (see below), whose sum is σ = 72147190752. Its totient is φ = 15128248320.

The previous prime is 33313321259. The next prime is 33313321313. The reversal of 33313321312 is 21312331333.

It is a super-2 number, since 2×33313321312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33313321313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39053878 + ... + 39054730.

It is an arithmetic number, because the mean of its divisors is an integer number (501022158).

Almost surely, 2^33313321312 is an apocalyptic number.

33313321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33313321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36073595376).

33313321312 is an abundant number, since it is smaller than the sum of its proper divisors (38833869440).

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

33313321312 is a wasteful number, since it uses less digits than its factorization.

33313321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1016 counting only the distinct ones).

The product of its digits is 2916, while the sum is 25.

Adding to 33313321312 its reverse (21312331333), we get a palindrome (54625652645).

The spelling of 33313321312 in words is "thirty-three billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".