10134431334401 has 8 divisors (see below), whose sum is σ = 11165206079808. Its totient is φ = 9121900390000.

The previous prime is 10134431334371. The next prime is 10134431334413. The reversal of 10134431334401 is 10443313443101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10134431334401 - 2¹⁴ = 10134431318017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10134431304401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4560949085 + ... + 4560951306.

It is an arithmetic number, because the mean of its divisors is an integer number (1395650759976).

Almost surely, 2^{10134431334401} is an apocalyptic number.

10134431334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10134431334401 is a deficient number, since it is larger than the sum of its proper divisors (1030774745407).

10134431334401 is a wasteful number, since it uses less digits than its factorization.

10134431334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121900503.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 10134431334401 its reverse (10443313443101), we get a palindrome (20577744777502).

The spelling of 10134431334401 in words is "ten trillion, one hundred thirty-four billion, four hundred thirty-one million, three hundred thirty-four thousand, four hundred one".