101120317316233 has 2 divisors, whose sum is σ = 101120317316234. Its totient is φ = 101120317316232.

The previous prime is 101120317316203. The next prime is 101120317316237. The reversal of 101120317316233 is 332613713021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59838702860304 + 41281614455929 = 7735548^2 + 6425077^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120317316233 - 2¹⁷ = 101120317185161 is a prime.

It is not a weakly prime, because it can be changed into another prime (101120317316237) 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, 50560158658116 + 50560158658117.

It is an arithmetic number, because the mean of its divisors is an integer number (50560158658117).

Almost surely, 2^{101120317316233} is an apocalyptic number.

It is an amenable number.

101120317316233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120317316233 is an equidigital number, since it uses as much as digits as its factorization.

101120317316233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 101120317316233 in words is "one hundred one trillion, one hundred twenty billion, three hundred seventeen million, three hundred sixteen thousand, two hundred thirty-three".