114113006001 has 6 divisors (see below), whose sum is σ = 164829897570. Its totient is φ = 76075337328.

The previous prime is 114113005997. The next prime is 114113006011. The reversal of 114113006001 is 100600311411.

114113006001 is a `hidden beast` number, since 11 + 41 + 13 + 0 + 0 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94666982400 + 19446023601 = 307680^2 + 139449^2 .

It is not a de Polignac number, because 114113006001 - 2² = 114113005997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114113006011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6339611436 + ... + 6339611453.

It is an arithmetic number, because the mean of its divisors is an integer number (27471649595).

Almost surely, 2^114113006001 is an apocalyptic number.

It is an amenable number.

114113006001 is a deficient number, since it is larger than the sum of its proper divisors (50716891569).

114113006001 is a wasteful number, since it uses less digits than its factorization.

114113006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679222895 (or 12679222892 counting only the distinct ones).

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

Adding to 114113006001 its reverse (100600311411), we get a palindrome (214713317412).

The spelling of 114113006001 in words is "one hundred fourteen billion, one hundred thirteen million, six thousand, one".