10111123313013 has 32 divisors (see below), whose sum is σ = 14517194716800. Its totient is φ = 6236392697856.

The previous prime is 10111123312957. The next prime is 10111123313089. The reversal of 10111123313013 is 31031332111101.

It is not a de Polignac number, because 10111123313013 - 2¹⁷ = 10111123181941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111123813013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69655053 + ... + 69800061.

It is an arithmetic number, because the mean of its divisors is an integer number (453662334900).

Almost surely, 2^{10111123313013} is an apocalyptic number.

It is an amenable number.

10111123313013 is a deficient number, since it is larger than the sum of its proper divisors (4406071403787).

10111123313013 is a wasteful number, since it uses less digits than its factorization.

10111123313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168261.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10111123313013 its reverse (31031332111101), we get a palindrome (41142455424114).

The spelling of 10111123313013 in words is "ten trillion, one hundred eleven billion, one hundred twenty-three million, three hundred thirteen thousand, thirteen".