10134333132 has 288 divisors, whose sum is σ = 31037271552. Its totient is φ = 2499840000.

The previous prime is 10134333067. The next prime is 10134333151. The reversal of 10134333132 is 23133343101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89684308 + ... + 89684420.

It is an arithmetic number, because the mean of its divisors is an integer number (107768304).

Almost surely, 2^10134333132 is an apocalyptic number.

10134333132 is a gapful number since it is divisible by the number (12) 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 10134333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518635776).

10134333132 is an abundant number, since it is smaller than the sum of its proper divisors (20902938420).

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

10134333132 is a wasteful number, since it uses less digits than its factorization.

10134333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10134333132 its reverse (23133343101), we get a palindrome (33267676233).

The spelling of 10134333132 in words is "ten billion, one hundred thirty-four million, three hundred thirty-three thousand, one hundred thirty-two".