20130114314013 has 32 divisors (see below), whose sum is σ = 30299247365760. Its totient is φ = 11775713832960.

The previous prime is 20130114313961. The next prime is 20130114314053. The reversal of 20130114314013 is 31041341103102.

It is a happy number.

It is not a de Polignac number, because 20130114314013 - 2¹² = 20130114309917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130114314053) 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, 190620 + ... + 6347957.

It is an arithmetic number, because the mean of its divisors is an integer number (946851480180).

Almost surely, 2^{20130114314013} is an apocalyptic number.

It is an amenable number.

20130114314013 is a deficient number, since it is larger than the sum of its proper divisors (10169133051747).

20130114314013 is a wasteful number, since it uses less digits than its factorization.

20130114314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541837.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20130114314013 its reverse (31041341103102), we get a palindrome (51171455417115).

The spelling of 20130114314013 in words is "twenty trillion, one hundred thirty billion, one hundred fourteen million, three hundred fourteen thousand, thirteen".