1010123332013 has 2 divisors, whose sum is σ = 1010123332014. Its totient is φ = 1010123332012.

The previous prime is 1010123332007. The next prime is 1010123332021. The reversal of 1010123332013 is 3102333210101.

1010123332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 879540114244 + 130583217769 = 937838^2 + 361363^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010123332013 - 2¹⁰ = 1010123330989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010123332213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061666006 + 505061666007.

It is an arithmetic number, because the mean of its divisors is an integer number (505061666007).

Almost surely, 2^{1010123332013} is an apocalyptic number.

It is an amenable number.

1010123332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010123332013 is an equidigital number, since it uses as much as digits as its factorization.

1010123332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1010123332013 its reverse (3102333210101), we get a palindrome (4112456542114).

The spelling of 1010123332013 in words is "one trillion, ten billion, one hundred twenty-three million, three hundred thirty-two thousand, thirteen".