103123032153313 has 2 divisors, whose sum is σ = 103123032153314. Its totient is φ = 103123032153312.

The previous prime is 103123032153301. The next prime is 103123032153343. The reversal of 103123032153313 is 313351230321301.

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., 94382157642304 + 8740874511009 = 9715048^2 + 2956497^2 .

It is an emirp because it is prime and its reverse (313351230321301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103123032153313 - 2²⁵ = 103122998598881 is a prime.

It is not a weakly prime, because it can be changed into another prime (103123032153343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51561516076656 + 51561516076657.

It is an arithmetic number, because the mean of its divisors is an integer number (51561516076657).

Almost surely, 2^{103123032153313} is an apocalyptic number.

It is an amenable number.

103123032153313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103123032153313 is an equidigital number, since it uses as much as digits as its factorization.

103123032153313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 103123032153313 its reverse (313351230321301), we get a palindrome (416474262474614).

The spelling of 103123032153313 in words is "one hundred three trillion, one hundred twenty-three billion, thirty-two million, one hundred fifty-three thousand, three hundred thirteen".