103320312211801 has 2 divisors, whose sum is σ = 103320312211802. Its totient is φ = 103320312211800.

The previous prime is 103320312211693. The next prime is 103320312211813. The reversal of 103320312211801 is 108112213023301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79551771872400 + 23768540339401 = 8919180^2 + 4875299^2 .

It is a cyclic number.

It is not a de Polignac number, because 103320312211801 - 2²⁷ = 103320177994073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103320312211801.

It is not a weakly prime, because it can be changed into another prime (103320312211901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51660156105900 + 51660156105901.

It is an arithmetic number, because the mean of its divisors is an integer number (51660156105901).

Almost surely, 2^{103320312211801} is an apocalyptic number.

It is an amenable number.

103320312211801 is a deficient number, since it is larger than the sum of its proper divisors (1).

103320312211801 is an equidigital number, since it uses as much as digits as its factorization.

103320312211801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 103320312211801 in words is "one hundred three trillion, three hundred twenty billion, three hundred twelve million, two hundred eleven thousand, eight hundred one".