10134334314192 has 320 divisors, whose sum is σ = 29637713064960. Its totient is φ = 2957189222400.

The previous prime is 10134334314191. The next prime is 10134334314199. The reversal of 10134334314192 is 29141343343101.

10134334314192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10134334314192² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10134334314192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134334314191) 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, 2567602363 + ... + 2567606309.

It is an arithmetic number, because the mean of its divisors is an integer number (92617853328).

Almost surely, 2^{10134334314192} is an apocalyptic number.

10134334314192 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 10134334314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818856532480).

10134334314192 is an abundant number, since it is smaller than the sum of its proper divisors (19503378750768).

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

10134334314192 is a wasteful number, since it uses less digits than its factorization.

10134334314192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

Adding to 10134334314192 its reverse (29141343343101), we get a palindrome (39275677657293).

The spelling of 10134334314192 in words is "ten trillion, one hundred thirty-four billion, three hundred thirty-four million, three hundred fourteen thousand, one hundred ninety-two".