10034433100132 has 192 divisors, whose sum is σ = 21727512576000. Its totient is φ = 3957575251968.

The previous prime is 10034433100127. The next prime is 10034433100213. The reversal of 10034433100132 is 23100133443001.

It is a junction number, because it is equal to n+sod(n) for n = 10034433100097 and 10034433100106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294631498 + ... + 2294635870.

It is an arithmetic number, because the mean of its divisors is an integer number (113164128000).

Almost surely, 2^{10034433100132} 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 10034433100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863756288000).

10034433100132 is an abundant number, since it is smaller than the sum of its proper divisors (11693079475868).

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

10034433100132 is a wasteful number, since it uses less digits than its factorization.

10034433100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10034433100132 its reverse (23100133443001), we get a palindrome (33134566543133).

The spelling of 10034433100132 in words is "ten trillion, thirty-four billion, four hundred thirty-three million, one hundred thousand, one hundred thirty-two".