20123133123001 has 2 divisors, whose sum is σ = 20123133123002. Its totient is φ = 20123133123000.

The previous prime is 20123133122969. The next prime is 20123133123029. The reversal of 20123133123001 is 10032133132102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12431801567376 + 7691331555625 = 3525876^2 + 2773325^2 .

It is a cyclic number.

It is not a de Polignac number, because 20123133123001 - 2⁵ = 20123133122969 is a prime.

It is not a weakly prime, because it can be changed into another prime (20123133124001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061566561500 + 10061566561501.

It is an arithmetic number, because the mean of its divisors is an integer number (10061566561501).

Almost surely, 2^{20123133123001} is an apocalyptic number.

It is an amenable number.

20123133123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20123133123001 is an equidigital number, since it uses as much as digits as its factorization.

20123133123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20123133123001 its reverse (10032133132102), we get a palindrome (30155266255103).

The spelling of 20123133123001 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-three thousand, one".