1014112135125 has 24 divisors (see below), whose sum is σ = 1828106144280. Its totient is φ = 540859804800.

The previous prime is 1014112135123. The next prime is 1014112135147. The reversal of 1014112135125 is 5215312114101.

1014112135125 is a `hidden beast` number, since 1 + 0 + 141 + 1 + 2 + 1 + 3 + 512 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61121124 + 1014051014001 = 7818^2 + 1007001^2 .

It is not a de Polignac number, because 1014112135125 - 2¹ = 1014112135123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014112135123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450715380 + ... + 450717629.

It is an arithmetic number, because the mean of its divisors is an integer number (76171089345).

Almost surely, 2^{1014112135125} is an apocalyptic number.

1014112135125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1014112135125 is a deficient number, since it is larger than the sum of its proper divisors (813994009155).

1014112135125 is an equidigital number, since it uses as much as digits as its factorization.

1014112135125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901433030 (or 901433017 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1014112135125 its reverse (5215312114101), we get a palindrome (6229424249226).

The spelling of 1014112135125 in words is "one trillion, fourteen billion, one hundred twelve million, one hundred thirty-five thousand, one hundred twenty-five".