10134334012320 has 288 divisors, whose sum is σ = 40987751995008. Its totient is φ = 2316419140608.

The previous prime is 10134334012279. The next prime is 10134334012357. The reversal of 10134334012320 is 2321043343101.

It is a happy number.

10134334012320 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 334 + 0 + 1 + 2 + 320 = 666.

10134334012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18346179 + ... + 18890498.

It is an arithmetic number, because the mean of its divisors is an integer number (142318583316).

Almost surely, 2^{10134334012320} is an apocalyptic number.

10134334012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134334012320 is an abundant number, since it is smaller than the sum of its proper divisors (30853417982688).

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

10134334012320 is an equidigital number, since it uses as much as digits as its factorization.

10134334012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37236714 (or 37236694 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10134334012320 its reverse (2321043343101), we get a palindrome (12455377355421).

The spelling of 10134334012320 in words is "ten trillion, one hundred thirty-four billion, three hundred thirty-four million, twelve thousand, three hundred twenty".