10101110323013 has 4 divisors (see below), whose sum is σ = 10101119154060. Its totient is φ = 10101101491968.

The previous prime is 10101110322971. The next prime is 10101110323027. The reversal of 10101110323013 is 31032301110101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 8769285844804 + 1331824478209 = 2961298^2 + 1154047^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101110323013 - 2¹⁶ = 10101110257477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101110322982 and 10101110323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110523013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2390108 + ... + 5090661.

It is an arithmetic number, because the mean of its divisors is an integer number (2525279788515).

Almost surely, 2^{10101110323013} is an apocalyptic number.

It is an amenable number.

10101110323013 is a deficient number, since it is larger than the sum of its proper divisors (8831047).

10101110323013 is an equidigital number, since it uses as much as digits as its factorization.

10101110323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831046.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10101110323013 its reverse (31032301110101), we get a palindrome (41133411433114).

The spelling of 10101110323013 in words is "ten trillion, one hundred one billion, one hundred ten million, three hundred twenty-three thousand, thirteen".