10142131104313 has 16 divisors (see below), whose sum is σ = 11101848231376. Its totient is φ = 9208078237440.

The previous prime is 10142131104293. The next prime is 10142131104337. The reversal of 10142131104313 is 31340113124101.

10142131104313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5054097489424 + 5088033614889 = 2248132^2 + 2255667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10142131104313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142131105313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18100231 + ... + 18652147.

It is an arithmetic number, because the mean of its divisors is an integer number (693865514461).

Almost surely, 2^{10142131104313} is an apocalyptic number.

10142131104313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10142131104313 is a deficient number, since it is larger than the sum of its proper divisors (959717127063).

10142131104313 is a wasteful number, since it uses less digits than its factorization.

10142131104313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575164.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10142131104313 its reverse (31340113124101), we get a palindrome (41482244228414).

The spelling of 10142131104313 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-one million, one hundred four thousand, three hundred thirteen".