32133142332330 has 128 divisors (see below), whose sum is σ = 85921226737920. Its totient is φ = 7636454461440.

The previous prime is 32133142332289. The next prime is 32133142332331. The reversal of 32133142332330 is 3323324133123.

It is a super-2 number, since 2×32133142332330² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32133142332291 and 32133142332300.

It is not an unprimeable number, because it can be changed into a prime (32133142332331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192650349 + ... + 192817071.

It is an arithmetic number, because the mean of its divisors is an integer number (671259583890).

Almost surely, 2^{32133142332330} is an apocalyptic number.

32133142332330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133142332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42960613368960).

32133142332330 is an abundant number, since it is smaller than the sum of its proper divisors (53788084405590).

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

32133142332330 is a wasteful number, since it uses less digits than its factorization.

32133142332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183816.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 32133142332330 its reverse (3323324133123), we get a palindrome (35456466465453).

The spelling of 32133142332330 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred forty-two million, three hundred thirty-two thousand, three hundred thirty".