10142134400393 has 2 divisors, whose sum is σ = 10142134400394. Its totient is φ = 10142134400392.

The previous prime is 10142134400371. The next prime is 10142134400449. The reversal of 10142134400393 is 39300443124101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9964799083849 + 177335316544 = 3156707^2 + 421112^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142134400393 - 2¹⁴ = 10142134384009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142134400323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071067200196 + 5071067200197.

It is an arithmetic number, because the mean of its divisors is an integer number (5071067200197).

Almost surely, 2^{10142134400393} is an apocalyptic number.

It is an amenable number.

10142134400393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142134400393 is an equidigital number, since it uses as much as digits as its factorization.

10142134400393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

Adding to 10142134400393 its reverse (39300443124101), we get a palindrome (49442577524494).

The spelling of 10142134400393 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred thousand, three hundred ninety-three".