33130221312 has 72 divisors (see below), whose sum is σ = 88246053504. Its totient is φ = 11034471424.

The previous prime is 33130221277. The next prime is 33130221323. The reversal of 33130221312 is 21312203133.

It is a super-2 number, since 2×33130221312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968533 + ... + 1002155.

It is an arithmetic number, because the mean of its divisors is an integer number (1225639632).

Almost surely, 2^33130221312 is an apocalyptic number.

33130221312 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 33130221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44123026752).

33130221312 is an abundant number, since it is smaller than the sum of its proper divisors (55115832192).

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

33130221312 is a wasteful number, since it uses less digits than its factorization.

33130221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34925 (or 34911 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33130221312 its reverse (21312203133), we get a palindrome (54442424445).

The spelling of 33130221312 in words is "thirty-three billion, one hundred thirty million, two hundred twenty-one thousand, three hundred twelve".