100313140240241 has 2 divisors, whose sum is σ = 100313140240242. Its totient is φ = 100313140240240.

The previous prime is 100313140240141. The next prime is 100313140240249. The reversal of 100313140240241 is 142042041313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88407852477025 + 11905287763216 = 9402545^2 + 3450404^2 .

It is an emirp because it is prime and its reverse (142042041313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100313140240241 - 2¹⁸ = 100313139978097 is a prime.

It is a super-2 number, since 2×100313140240241² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100313140240241.

It is not a weakly prime, because it can be changed into another prime (100313140240249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156570120120 + 50156570120121.

It is an arithmetic number, because the mean of its divisors is an integer number (50156570120121).

Almost surely, 2^{100313140240241} is an apocalyptic number.

It is an amenable number.

100313140240241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313140240241 is an equidigital number, since it uses as much as digits as its factorization.

100313140240241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 100313140240241 its reverse (142042041313001), we get a palindrome (242355181553242).

The spelling of 100313140240241 in words is "one hundred trillion, three hundred thirteen billion, one hundred forty million, two hundred forty thousand, two hundred forty-one".