33132334125104 has 160 divisors (see below), whose sum is σ = 70712271000000. Its totient is φ = 14977686011904.

The previous prime is 33132334125103. The next prime is 33132334125131. The reversal of 33132334125104 is 40152143323133.

It is a super-2 number, since 2×33132334125104² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33132334125103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3176937362 + ... + 3176947790.

It is an arithmetic number, because the mean of its divisors is an integer number (441951693750).

Almost surely, 2^{33132334125104} 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 33132334125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35356135500000).

33132334125104 is an abundant number, since it is smaller than the sum of its proper divisors (37579936874896).

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

33132334125104 is a wasteful number, since it uses less digits than its factorization.

33132334125104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 33132334125104 its reverse (40152143323133), we get a palindrome (73284477448237).

The spelling of 33132334125104 in words is "thirty-three trillion, one hundred thirty-two billion, three hundred thirty-four million, one hundred twenty-five thousand, one hundred four".