123233101361 has 2 divisors, whose sum is σ = 123233101362. Its totient is φ = 123233101360.

The previous prime is 123233101301. The next prime is 123233101379. The reversal of 123233101361 is 163101332321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83430856336 + 39802245025 = 288844^2 + 199505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123233101361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123233101361.

It is not a weakly prime, because it can be changed into another prime (123233101301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61616550680 + 61616550681.

It is an arithmetic number, because the mean of its divisors is an integer number (61616550681).

Almost surely, 2^123233101361 is an apocalyptic number.

It is an amenable number.

123233101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

123233101361 is an equidigital number, since it uses as much as digits as its factorization.

123233101361 is an evil number, because the sum of its binary digits is even.

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

Adding to 123233101361 its reverse (163101332321), we get a palindrome (286334433682).

The spelling of 123233101361 in words is "one hundred twenty-three billion, two hundred thirty-three million, one hundred one thousand, three hundred sixty-one".