103322213133101 has 2 divisors, whose sum is σ = 103322213133102. Its totient is φ = 103322213133100.

The previous prime is 103322213133079. The next prime is 103322213133103. The reversal of 103322213133101 is 101331312223301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99722712487876 + 3599500645225 = 9986126^2 + 1897235^2 .

It is a cyclic number.

It is not a de Polignac number, because 103322213133101 - 2³⁰ = 103321139391277 is a prime.

Together with 103322213133103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103322213133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51661106566550 + 51661106566551.

It is an arithmetic number, because the mean of its divisors is an integer number (51661106566551).

Almost surely, 2^{103322213133101} is an apocalyptic number.

It is an amenable number.

103322213133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103322213133101 is an equidigital number, since it uses as much as digits as its factorization.

103322213133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 103322213133101 its reverse (101331312223301), we get a palindrome (204653525356402).

The spelling of 103322213133101 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred one".