103535413013 has 2 divisors, whose sum is σ = 103535413014. Its totient is φ = 103535413012.

The previous prime is 103535412989. The next prime is 103535413049. The reversal of 103535413013 is 310314535301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72214200529 + 31321212484 = 268727^2 + 176978^2 .

It is an emirp because it is prime and its reverse (310314535301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103535413013 - 2¹⁸ = 103535150869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103535413213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51767706506 + 51767706507.

It is an arithmetic number, because the mean of its divisors is an integer number (51767706507).

Almost surely, 2^103535413013 is an apocalyptic number.

It is an amenable number.

103535413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103535413013 is an equidigital number, since it uses as much as digits as its factorization.

103535413013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 103535413013 its reverse (310314535301), we get a palindrome (413849948314).

The spelling of 103535413013 in words is "one hundred three billion, five hundred thirty-five million, four hundred thirteen thousand, thirteen".