20003114314001 has 16 divisors (see below), whose sum is σ = 24625548528000. Its totient is φ = 15822570025728.

The previous prime is 20003114313983. The next prime is 20003114314063. The reversal of 20003114314001 is 10041341130002.

It is a cyclic number.

It is not a de Polignac number, because 20003114314001 - 2¹⁸ = 20003114051857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20003114364001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27907151 + ... + 28614948.

It is an arithmetic number, because the mean of its divisors is an integer number (1539096783000).

Almost surely, 2^{20003114314001} is an apocalyptic number.

It is an amenable number.

20003114314001 is a deficient number, since it is larger than the sum of its proper divisors (4622434213999).

20003114314001 is a wasteful number, since it uses less digits than its factorization.

20003114314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56526008.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20003114314001 its reverse (10041341130002), we get a palindrome (30044455444003).

The spelling of 20003114314001 in words is "twenty trillion, three billion, one hundred fourteen million, three hundred fourteen thousand, one".