32133020201312 has 96 divisors (see below), whose sum is σ = 67058928518400. Its totient is φ = 15131914444800.

The previous prime is 32133020201299. The next prime is 32133020201341. The reversal of 32133020201312 is 21310202033123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15669014 + ... + 17600682.

It is an arithmetic number, because the mean of its divisors is an integer number (698530505400).

Almost surely, 2^{32133020201312} is an apocalyptic number.

32133020201312 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 32133020201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529464259200).

32133020201312 is an abundant number, since it is smaller than the sum of its proper divisors (34925908317088).

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

32133020201312 is a wasteful number, since it uses less digits than its factorization.

32133020201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932160 (or 1932152 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 32133020201312 its reverse (21310202033123), we get a palindrome (53443222234435).

The spelling of 32133020201312 in words is "thirty-two trillion, one hundred thirty-three billion, twenty million, two hundred one thousand, three hundred twelve".