10235444512113 has 24 divisors (see below), whose sum is σ = 15489234199296. Its totient is φ = 6504952687200.

The previous prime is 10235444512109. The next prime is 10235444512121. The reversal of 10235444512113 is 31121544453201.

10235444512113 is a `hidden beast` number, since 1 + 0 + 2 + 354 + 44 + 51 + 211 + 3 = 666.

It is not a de Polignac number, because 10235444512113 - 2² = 10235444512109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10235444512213) 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 23 ways as a sum of consecutive naturals, for example, 273758778 + ... + 273796163.

It is an arithmetic number, because the mean of its divisors is an integer number (645384758304).

Almost surely, 2^{10235444512113} is an apocalyptic number.

It is an amenable number.

10235444512113 is a deficient number, since it is larger than the sum of its proper divisors (5253789687183).

10235444512113 is a wasteful number, since it uses less digits than its factorization.

10235444512113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547555045 (or 547555042 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10235444512113 its reverse (31121544453201), we get a palindrome (41356988965314).

The spelling of 10235444512113 in words is "ten trillion, two hundred thirty-five billion, four hundred forty-four million, five hundred twelve thousand, one hundred thirteen".