1012103023113 has 36 divisors (see below), whose sum is σ = 1831424528388. Its totient is φ = 533856536640.

The previous prime is 1012103023109. The next prime is 1012103023123. The reversal of 1012103023113 is 3113203012101.

It can be written as a sum of positive squares in 2 ways, for example, as 63588700224 + 948514322889 = 252168^2 + 973917^2 .

It is not a de Polignac number, because 1012103023113 - 2² = 1012103023109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012103023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88264198 + ... + 88275663.

Almost surely, 2^{1012103023113} is an apocalyptic number.

1012103023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1012103023113 is a deficient number, since it is larger than the sum of its proper divisors (819321505275).

1012103023113 is a wasteful number, since it uses less digits than its factorization.

1012103023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176539894 (or 176539884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012103023113 its reverse (3113203012101), we get a palindrome (4125306035214).

The spelling of 1012103023113 in words is "one trillion, twelve billion, one hundred three million, twenty-three thousand, one hundred thirteen".