4137007113 has 12 divisors (see below), whose sum is σ = 5982612480. Its totient is φ = 2754803736.

The previous prime is 4137007087. The next prime is 4137007169. The reversal of 4137007113 is 3117007314.

4137007113 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4137007113 - 2¹⁷ = 4136876041 is a prime.

It is a super-2 number, since 2×4137007113² = 34229655706025189538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4137007183) 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, 258553 + ... + 274086.

It is an arithmetic number, because the mean of its divisors is an integer number (498551040).

Almost surely, 2^4137007113 is an apocalyptic number.

It is an amenable number.

4137007113 is a deficient number, since it is larger than the sum of its proper divisors (1845605367).

4137007113 is a wasteful number, since it uses less digits than its factorization.

4137007113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533508 (or 533505 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 4137007113 is about 64319.5702177805. The cubic root of 4137007113 is about 1605.3217475905.

The spelling of 4137007113 in words is "four billion, one hundred thirty-seven million, seven thousand, one hundred thirteen".