20131312101413 has 2 divisors, whose sum is σ = 20131312101414. Its totient is φ = 20131312101412.

The previous prime is 20131312101319. The next prime is 20131312101427. The reversal of 20131312101413 is 31410121313102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15500543807329 + 4630768294084 = 3937073^2 + 2151922^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131312101413 - 2¹⁴ = 20131312085029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131312101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065656050706 + 10065656050707.

It is an arithmetic number, because the mean of its divisors is an integer number (10065656050707).

Almost surely, 2^{20131312101413} is an apocalyptic number.

It is an amenable number.

20131312101413 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131312101413 is an equidigital number, since it uses as much as digits as its factorization.

20131312101413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 20131312101413 its reverse (31410121313102), we get a palindrome (51541433414515).

The spelling of 20131312101413 in words is "twenty trillion, one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, four hundred thirteen".