1020123361 has 2 divisors, whose sum is σ = 1020123362. Its totient is φ = 1020123360.

The previous prime is 1020123329. The next prime is 1020123367. The reversal of 1020123361 is 1633210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 908419600 + 111703761 = 30140^2 + 10569^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020123361 - 2⁵ = 1020123329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020123367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510061680 + 510061681.

It is an arithmetic number, because the mean of its divisors is an integer number (510061681).

Almost surely, 2^1020123361 is an apocalyptic number.

It is an amenable number.

1020123361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020123361 is an equidigital number, since it uses as much as digits as its factorization.

1020123361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1020123361 is about 31939.3700783218. The cubic root of 1020123361 is about 1006.6632889648.

Adding to 1020123361 its reverse (1633210201), we get a palindrome (2653333562).

The spelling of 1020123361 in words is "one billion, twenty million, one hundred twenty-three thousand, three hundred sixty-one".