1010023332113 has 2 divisors, whose sum is σ = 1010023332114. Its totient is φ = 1010023332112.

The previous prime is 1010023332083. The next prime is 1010023332133. The reversal of 1010023332113 is 3112333200101.

It is an a-pointer prime, because the next prime (1010023332133) can be obtained adding 1010023332113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 550301363329 + 459721968784 = 741823^2 + 678028^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010023332113 - 2¹⁰ = 1010023331089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010023332133) 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, 505011666056 + 505011666057.

It is an arithmetic number, because the mean of its divisors is an integer number (505011666057).

Almost surely, 2^{1010023332113} is an apocalyptic number.

It is an amenable number.

1010023332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010023332113 is an equidigital number, since it uses as much as digits as its factorization.

1010023332113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1010023332113 its reverse (3112333200101), we get a palindrome (4122356532214).

The spelling of 1010023332113 in words is "one trillion, ten billion, twenty-three million, three hundred thirty-two thousand, one hundred thirteen".