33313221312 has 112 divisors (see below), whose sum is σ = 100800042240. Its totient is φ = 9511713792.

The previous prime is 33313221259. The next prime is 33313221323. The reversal of 33313221312 is 21312231333.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33313221312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 2233014 + ... + 2247882.

Almost surely, 2^33313221312 is an apocalyptic number.

33313221312 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 33313221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400021120).

33313221312 is an abundant number, since it is smaller than the sum of its proper divisors (67486820928).

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

33313221312 is a wasteful number, since it uses less digits than its factorization.

33313221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558 (or 16548 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 33313221312 its reverse (21312231333), we get a palindrome (54625452645).

The spelling of 33313221312 in words is "thirty-three billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".