2013102101327 has 2 divisors, whose sum is σ = 2013102101328. Its totient is φ = 2013102101326.

The previous prime is 2013102101299. The next prime is 2013102101359. The reversal of 2013102101327 is 7231012013102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2013102101327 - 2³⁸ = 1738224194383 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013102100327) 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, 1006551050663 + 1006551050664.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551050664).

Almost surely, 2^{2013102101327} is an apocalyptic number.

2013102101327 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102101327 is an equidigital number, since it uses as much as digits as its factorization.

2013102101327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 2013102101327 its reverse (7231012013102), we get a palindrome (9244114114429).

The spelling of 2013102101327 in words is "two trillion, thirteen billion, one hundred two million, one hundred one thousand, three hundred twenty-seven".