103533121241213 has 2 divisors, whose sum is σ = 103533121241214. Its totient is φ = 103533121241212.

The previous prime is 103533121241189. The next prime is 103533121241357. The reversal of 103533121241213 is 312142121335301.

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., 102060970965529 + 1472150275684 = 10102523^2 + 1213322^2 .

It is a cyclic number.

It is not a de Polignac number, because 103533121241213 - 2²⁰ = 103533120192637 is a prime.

It is a super-2 number, since 2×103533121241213² (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 103533121241213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103533121241513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51766560620606 + 51766560620607.

It is an arithmetic number, because the mean of its divisors is an integer number (51766560620607).

Almost surely, 2^{103533121241213} is an apocalyptic number.

It is an amenable number.

103533121241213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103533121241213 is an equidigital number, since it uses as much as digits as its factorization.

103533121241213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 103533121241213 its reverse (312142121335301), we get a palindrome (415675242576514).

The spelling of 103533121241213 in words is "one hundred three trillion, five hundred thirty-three billion, one hundred twenty-one million, two hundred forty-one thousand, two hundred thirteen".