114214131314001 has 6 divisors (see below), whose sum is σ = 164975967453570. Its totient is φ = 76142754209328.

The previous prime is 114214131313969. The next prime is 114214131314029. The reversal of 114214131314001 is 100413131412411.

114214131314001 is a `hidden beast` number, since 1 + 1 + 4 + 214 + 13 + 1 + 31 + 400 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105826504414401 + 8387626899600 = 10287201^2 + 2896140^2 .

It is not a de Polignac number, because 114214131314001 - 2⁵ = 114214131313969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114214131314051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6345229517436 + ... + 6345229517453.

It is an arithmetic number, because the mean of its divisors is an integer number (27495994575595).

Almost surely, 2^{114214131314001} is an apocalyptic number.

It is an amenable number.

114214131314001 is a deficient number, since it is larger than the sum of its proper divisors (50761836139569).

114214131314001 is a wasteful number, since it uses less digits than its factorization.

114214131314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690459034895 (or 12690459034892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114214131314001 its reverse (100413131412411), we get a palindrome (214627262726412).

The spelling of 114214131314001 in words is "one hundred fourteen trillion, two hundred fourteen billion, one hundred thirty-one million, three hundred fourteen thousand, one".