10142604616313 has 16 divisors (see below), whose sum is σ = 11129086127376. Its totient is φ = 9185597890560.

The previous prime is 10142604616307. The next prime is 10142604616327. The reversal of 10142604616313 is 31361640624101.

It can be written as a sum of positive squares in 8 ways, for example, as 205937162809 + 9936667453504 = 453803^2 + 3152248^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10142604616313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142604616363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63336281 + ... + 63496217.

It is an arithmetic number, because the mean of its divisors is an integer number (695567882961).

Almost surely, 2^{10142604616313} is an apocalyptic number.

10142604616313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10142604616313 is a deficient number, since it is larger than the sum of its proper divisors (986481511063).

10142604616313 is a wasteful number, since it uses less digits than its factorization.

10142604616313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252044.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 10142604616313 in words is "ten trillion, one hundred forty-two billion, six hundred four million, six hundred sixteen thousand, three hundred thirteen".