2112513117 has 32 divisors (see below), whose sum is σ = 3314618496. Its totient is φ = 1179859200.

The previous prime is 2112513107. The next prime is 2112513127. The reversal of 2112513117 is 7113152112.

It is an interprime number because it is at equal distance from previous prime (2112513107) and next prime (2112513127).

It is not a de Polignac number, because 2112513117 - 2²⁰ = 2111464541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112513107) 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 31 ways as a sum of consecutive naturals, for example, 276367 + ... + 283907.

It is an arithmetic number, because the mean of its divisors is an integer number (103581828).

Almost surely, 2^2112513117 is an apocalyptic number.

It is an amenable number.

2112513117 is a deficient number, since it is larger than the sum of its proper divisors (1202105379).

2112513117 is a wasteful number, since it uses less digits than its factorization.

2112513117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221.

The product of its digits is 420, while the sum is 24.

The square root of 2112513117 is about 45962.0834710525. The cubic root of 2112513117 is about 1283.1176276501.

Adding to 2112513117 its reverse (7113152112), we get a palindrome (9225665229).

The spelling of 2112513117 in words is "two billion, one hundred twelve million, five hundred thirteen thousand, one hundred seventeen".