10112103013013 has 2 divisors, whose sum is σ = 10112103013014. Its totient is φ = 10112103013012.

The previous prime is 10112103012971. The next prime is 10112103013027. The reversal of 10112103013013 is 31031030121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5799345361489 + 4312757651524 = 2408183^2 + 2076718^2 .

It is an emirp because it is prime and its reverse (31031030121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112103013013 - 2²⁸ = 10111834577557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112103012982 and 10112103013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112103012013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056051506506 + 5056051506507.

It is an arithmetic number, because the mean of its divisors is an integer number (5056051506507).

Almost surely, 2^{10112103013013} is an apocalyptic number.

It is an amenable number.

10112103013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112103013013 is an equidigital number, since it uses as much as digits as its factorization.

10112103013013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10112103013013 its reverse (31031030121101), we get a palindrome (41143133134114).

The spelling of 10112103013013 in words is "ten trillion, one hundred twelve billion, one hundred three million, thirteen thousand, thirteen".