10134210312 has 192 divisors, whose sum is σ = 29791756800. Its totient is φ = 3104801280.

The previous prime is 10134210293. The next prime is 10134210337. The reversal of 10134210312 is 21301243101.

10134210312 is a `hidden beast` number, since 1 + 0 + 1 + 342 + 10 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3629637 + ... + 3632427.

It is an arithmetic number, because the mean of its divisors is an integer number (155165400).

Almost surely, 2^10134210312 is an apocalyptic number.

10134210312 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 10134210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895878400).

10134210312 is an abundant number, since it is smaller than the sum of its proper divisors (19657546488).

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

10134210312 is a wasteful number, since it uses less digits than its factorization.

10134210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10134210312 its reverse (21301243101), we get a palindrome (31435453413).

The spelling of 10134210312 in words is "ten billion, one hundred thirty-four million, two hundred ten thousand, three hundred twelve".