114014412131001 has 16 divisors (see below), whose sum is σ = 160962507345024. Its totient is φ = 71538017187584.

The previous prime is 114014412130991. The next prime is 114014412131063. The reversal of 114014412131001 is 100131214410411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114014412131001 - 2⁷ = 114014412130873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114014412131701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688971 + ... + 15194783.

It is an arithmetic number, because the mean of its divisors is an integer number (10060156709064).

Almost surely, 2^{114014412131001} is an apocalyptic number.

It is an amenable number.

114014412131001 is a deficient number, since it is larger than the sum of its proper divisors (46948095214023).

114014412131001 is a wasteful number, since it uses less digits than its factorization.

114014412131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13671360.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 114014412131001 its reverse (100131214410411), we get a palindrome (214145626541412).

The spelling of 114014412131001 in words is "one hundred fourteen trillion, fourteen billion, four hundred twelve million, one hundred thirty-one thousand, one".