10133434122 has 96 divisors (see below), whose sum is σ = 25131801600. Its totient is φ = 2708046432.

The previous prime is 10133434109. The next prime is 10133434169. The reversal of 10133434122 is 22143433101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10133434092 and 10133434101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429813 + ... + 452775.

It is an arithmetic number, because the mean of its divisors is an integer number (261789600).

Almost surely, 2^10133434122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133434122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565900800).

10133434122 is an abundant number, since it is smaller than the sum of its proper divisors (14998367478).

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

10133434122 is a wasteful number, since it uses less digits than its factorization.

10133434122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080 (or 23073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10133434122 its reverse (22143433101), we get a palindrome (32276867223).

The spelling of 10133434122 in words is "ten billion, one hundred thirty-three million, four hundred thirty-four thousand, one hundred twenty-two".