1010031011273 has 2 divisors, whose sum is σ = 1010031011274. Its totient is φ = 1010031011272.

The previous prime is 1010031011237. The next prime is 1010031011279. The reversal of 1010031011273 is 3721101300101.

Together with previous prime (1010031011237) 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., 1009709454649 + 321556624 = 1004843^2 + 17932^2 .

It is an emirp because it is prime and its reverse (3721101300101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010031011273 - 2²⁸ = 1009762575817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010031011279) 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, 505015505636 + 505015505637.

It is an arithmetic number, because the mean of its divisors is an integer number (505015505637).

Almost surely, 2^{1010031011273} is an apocalyptic number.

It is an amenable number.

1010031011273 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010031011273 is an equidigital number, since it uses as much as digits as its factorization.

1010031011273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 1010031011273 its reverse (3721101300101), we get a palindrome (4731132311374).

The spelling of 1010031011273 in words is "one trillion, ten billion, thirty-one million, eleven thousand, two hundred seventy-three".