101112340113 has 12 divisors (see below), whose sum is σ = 149998487028. Its totient is φ = 65586382560.

The previous prime is 101112340103. The next prime is 101112340127. The reversal of 101112340113 is 311043211101.

It is a happy number.

101112340113 is a `hidden beast` number, since 101 + 112 + 340 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92956082769 + 8156257344 = 304887^2 + 90312^2 .

It is not a de Polignac number, because 101112340113 - 2¹⁰ = 101112339089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112340103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151819998 + ... + 151820663.

It is an arithmetic number, because the mean of its divisors is an integer number (12499873919).

Almost surely, 2^101112340113 is an apocalyptic number.

It is an amenable number.

101112340113 is a deficient number, since it is larger than the sum of its proper divisors (48886146915).

101112340113 is a wasteful number, since it uses less digits than its factorization.

101112340113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303640704 (or 303640701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101112340113 its reverse (311043211101), we get a palindrome (412155551214).

The spelling of 101112340113 in words is "one hundred one billion, one hundred twelve million, three hundred forty thousand, one hundred thirteen".