33102132312 has 128 divisors (see below), whose sum is σ = 88031784960. Its totient is φ = 10351165440.

The previous prime is 33102132311. The next prime is 33102132337. The reversal of 33102132312 is 21323120133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6047737 + ... + 6053207.

It is an arithmetic number, because the mean of its divisors is an integer number (687748320).

Almost surely, 2^33102132312 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 33102132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44015892480).

33102132312 is an abundant number, since it is smaller than the sum of its proper divisors (54929652648).

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

33102132312 is a wasteful number, since it uses less digits than its factorization.

33102132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5709 counting only the distinct ones).

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

Adding to 33102132312 its reverse (21323120133), we get a palindrome (54425252445).

The spelling of 33102132312 in words is "thirty-three billion, one hundred two million, one hundred thirty-two thousand, three hundred twelve".