4013242102313 has 2 divisors, whose sum is σ = 4013242102314. Its totient is φ = 4013242102312.

The previous prime is 4013242102307. The next prime is 4013242102351. The reversal of 4013242102313 is 3132012423104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2950039834624 + 1063202267689 = 1717568^2 + 1031117^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013242102313 - 2¹⁶ = 4013242036777 is a prime.

It is a super-2 number, since 2×4013242102313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013242122313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006621051156 + 2006621051157.

It is an arithmetic number, because the mean of its divisors is an integer number (2006621051157).

Almost surely, 2^{4013242102313} is an apocalyptic number.

It is an amenable number.

4013242102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013242102313 is an equidigital number, since it uses as much as digits as its factorization.

4013242102313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4013242102313 its reverse (3132012423104), we get a palindrome (7145254525417).

The spelling of 4013242102313 in words is "four trillion, thirteen billion, two hundred forty-two million, one hundred two thousand, three hundred thirteen".