10131145340753 has 2 divisors, whose sum is σ = 10131145340754. Its totient is φ = 10131145340752.

The previous prime is 10131145340747. The next prime is 10131145340761. The reversal of 10131145340753 is 35704354113101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7204113666304 + 2927031674449 = 2684048^2 + 1710857^2 .

It is an emirp because it is prime and its reverse (35704354113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131145340753 - 2³⁴ = 10113965471569 is a prime.

It is a super-3 number, since 3×10131145340753³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10131145345753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065572670376 + 5065572670377.

It is an arithmetic number, because the mean of its divisors is an integer number (5065572670377).

Almost surely, 2^{10131145340753} is an apocalyptic number.

It is an amenable number.

10131145340753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131145340753 is an equidigital number, since it uses as much as digits as its factorization.

10131145340753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

Adding to 10131145340753 its reverse (35704354113101), we get a palindrome (45835499453854).

The spelling of 10131145340753 in words is "ten trillion, one hundred thirty-one billion, one hundred forty-five million, three hundred forty thousand, seven hundred fifty-three".