100112000013 has 12 divisors (see below), whose sum is σ = 145442098620. Its totient is φ = 66355544256.

The previous prime is 100111999961. The next prime is 100112000029. The reversal of 100112000013 is 310000211001.

It can be written as a sum of positive squares in 2 ways, for example, as 95553319689 + 4558680324 = 309117^2 + 67518^2 .

It is not a de Polignac number, because 100112000013 - 2¹² = 100111995917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111999959 and 100112000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112000413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32147448 + ... + 32150561.

It is an arithmetic number, because the mean of its divisors is an integer number (12120174885).

Almost surely, 2^100112000013 is an apocalyptic number.

It is an amenable number.

100112000013 is a deficient number, since it is larger than the sum of its proper divisors (45330098607).

100112000013 is a wasteful number, since it uses less digits than its factorization.

100112000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64298188 (or 64298185 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100112000013 its reverse (310000211001), we get a palindrome (410112211014).

The spelling of 100112000013 in words is "one hundred billion, one hundred twelve million, thirteen", and thus it is an aban number.