20131312101313 has 16 divisors (see below), whose sum is σ = 24382388444544. Its totient is φ = 16225846836480.

The previous prime is 20131312101247. The next prime is 20131312101317. The reversal of 20131312101313 is 31310121313102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20131312101313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20131312101317) 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, 75592543 + ... + 75858388.

It is an arithmetic number, because the mean of its divisors is an integer number (1523899277784).

Almost surely, 2^{20131312101313} is an apocalyptic number.

It is an amenable number.

20131312101313 is a deficient number, since it is larger than the sum of its proper divisors (4251076343231).

20131312101313 is a wasteful number, since it uses less digits than its factorization.

20131312101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151452072.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 20131312101313 its reverse (31310121313102), we get a palindrome (51441433414415).

The spelling of 20131312101313 in words is "twenty trillion, one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, three hundred thirteen".