10540315321141 has 2 divisors, whose sum is σ = 10540315321142. Its totient is φ = 10540315321140.

The previous prime is 10540315321073. The next prime is 10540315321247. The reversal of 10540315321141 is 14112351304501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8427496090225 + 2112819230916 = 2903015^2 + 1453554^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540315321141 - 2¹³ = 10540315312949 is a prime.

It is a super-2 number, since 2×10540315321141² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10540315324141) 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 as a sum of consecutive naturals, namely, 5270157660570 + 5270157660571.

It is an arithmetic number, because the mean of its divisors is an integer number (5270157660571).

Almost surely, 2^{10540315321141} is an apocalyptic number.

It is an amenable number.

10540315321141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540315321141 is an equidigital number, since it uses as much as digits as its factorization.

10540315321141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 10540315321141 its reverse (14112351304501), we get a palindrome (24652666625642).

The spelling of 10540315321141 in words is "ten trillion, five hundred forty billion, three hundred fifteen million, three hundred twenty-one thousand, one hundred forty-one".