10101112130113 has 4 divisors (see below), whose sum is σ = 10266704132308. Its totient is φ = 9935520127920.

The previous prime is 10101112130093. The next prime is 10101112130309. The reversal of 10101112130113 is 31103121110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 111391065009 + 9989721065104 = 333753^2 + 3160652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101112130113 - 2²¹ = 10101110032961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101112139113) 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, 82796001006 + ... + 82796001127.

It is an arithmetic number, because the mean of its divisors is an integer number (2566676033077).

Almost surely, 2^{10101112130113} is an apocalyptic number.

It is an amenable number.

10101112130113 is a deficient number, since it is larger than the sum of its proper divisors (165592002195).

10101112130113 is an equidigital number, since it uses as much as digits as its factorization.

10101112130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165592002194.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10101112130113 its reverse (31103121110101), we get a palindrome (41204233240214).

The spelling of 10101112130113 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred thirty thousand, one hundred thirteen".