101112013 has 2 divisors, whose sum is σ = 101112014. Its totient is φ = 101112012.

The previous prime is 101111917. The next prime is 101112029. The reversal of 101112013 is 310211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100360324 + 751689 = 10018^2 + 867^2 .

It is an emirp because it is prime and its reverse (310211101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556006 + 50556007.

It is an arithmetic number, because the mean of its divisors is an integer number (50556007).

Almost surely, 2^101112013 is an apocalyptic number.

It is an amenable number.

101112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112013 is an equidigital number, since it uses as much as digits as its factorization.

101112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101112013 is about 10055.4469318872. The cubic root of 101112013 is about 465.8730474414.

Adding to 101112013 its reverse (310211101), we get a palindrome (411323114).

The spelling of 101112013 in words is "one hundred one million, one hundred twelve thousand, thirteen".