114001320013 has 32 divisors (see below), whose sum is σ = 138180317184. Its totient is φ = 91938920832.

The previous prime is 114001319981. The next prime is 114001320023. The reversal of 114001320013 is 310023100411.

It is not a de Polignac number, because 114001320013 - 2⁵ = 114001319981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001320023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7834881 + ... + 7849417.

It is an arithmetic number, because the mean of its divisors is an integer number (4318134912).

Almost surely, 2^114001320013 is an apocalyptic number.

It is an amenable number.

114001320013 is a deficient number, since it is larger than the sum of its proper divisors (24178997171).

114001320013 is a wasteful number, since it uses less digits than its factorization.

114001320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15361.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 114001320013 its reverse (310023100411), we get a palindrome (424024420424).

The spelling of 114001320013 in words is "one hundred fourteen billion, one million, three hundred twenty thousand, thirteen".