103113211221337 has 2 divisors, whose sum is σ = 103113211221338. Its totient is φ = 103113211221336.

The previous prime is 103113211221269. The next prime is 103113211221359. The reversal of 103113211221337 is 733122112311301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74766787074841 + 28346424146496 = 8646779^2 + 5324136^2 .

It is an emirp because it is prime and its reverse (733122112311301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103113211221337 - 2³⁹ = 102563455407449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103113211221299 and 103113211221308.

It is not a weakly prime, because it can be changed into another prime (103113211221637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556605610668 + 51556605610669.

It is an arithmetic number, because the mean of its divisors is an integer number (51556605610669).

Almost surely, 2^{103113211221337} is an apocalyptic number.

It is an amenable number.

103113211221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

103113211221337 is an equidigital number, since it uses as much as digits as its factorization.

103113211221337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 103113211221337 its reverse (733122112311301), we get a palindrome (836235323532638).

The spelling of 103113211221337 in words is "one hundred three trillion, one hundred thirteen billion, two hundred eleven million, two hundred twenty-one thousand, three hundred thirty-seven".