10142331313 has 2 divisors, whose sum is σ = 10142331314. Its totient is φ = 10142331312.

The previous prime is 10142331209. The next prime is 10142331317. The reversal of 10142331313 is 31313324101.

10142331313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9937497969 + 204833344 = 99687^2 + 14312^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142331313 - 2⁹ = 10142330801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142331317) 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 as a sum of consecutive naturals, namely, 5071165656 + 5071165657.

It is an arithmetic number, because the mean of its divisors is an integer number (5071165657).

Almost surely, 2^10142331313 is an apocalyptic number.

It is an amenable number.

10142331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142331313 is an equidigital number, since it uses as much as digits as its factorization.

10142331313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10142331313 its reverse (31313324101), we get a palindrome (41455655414).

The spelling of 10142331313 in words is "ten billion, one hundred forty-two million, three hundred thirty-one thousand, three hundred thirteen".