2010431123273 has 2 divisors, whose sum is σ = 2010431123274. Its totient is φ = 2010431123272.

The previous prime is 2010431123237. The next prime is 2010431123299. The reversal of 2010431123273 is 3723211340102.

Together with previous prime (2010431123237) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1800032772409 + 210398350864 = 1341653^2 + 458692^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010431123273 - 2¹⁶ = 2010431057737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010431123213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005215561636 + 1005215561637.

It is an arithmetic number, because the mean of its divisors is an integer number (1005215561637).

Almost surely, 2^{2010431123273} is an apocalyptic number.

It is an amenable number.

2010431123273 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010431123273 is an equidigital number, since it uses as much as digits as its factorization.

2010431123273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 2010431123273 its reverse (3723211340102), we get a palindrome (5733642463375).

The spelling of 2010431123273 in words is "two trillion, ten billion, four hundred thirty-one million, one hundred twenty-three thousand, two hundred seventy-three".