103233011301313 has 2 divisors, whose sum is σ = 103233011301314. Its totient is φ = 103233011301312.

The previous prime is 103233011301293. The next prime is 103233011301331. The reversal of 103233011301313 is 313103110332301.

Together with next prime (103233011301331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67744636488369 + 35488374812944 = 8230713^2 + 5957212^2 .

It is an emirp because it is prime and its reverse (313103110332301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103233011301313 is a prime.

It is not a weakly prime, because it can be changed into another prime (103233011301613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51616505650656 + 51616505650657.

It is an arithmetic number, because the mean of its divisors is an integer number (51616505650657).

Almost surely, 2^{103233011301313} is an apocalyptic number.

It is an amenable number.

103233011301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103233011301313 is an equidigital number, since it uses as much as digits as its factorization.

103233011301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 103233011301313 its reverse (313103110332301), we get a palindrome (416336121633614).

The spelling of 103233011301313 in words is "one hundred three trillion, two hundred thirty-three billion, eleven million, three hundred one thousand, three hundred thirteen".