2138683703713 has 2 divisors, whose sum is σ = 2138683703714. Its totient is φ = 2138683703712.

The previous prime is 2138683703707. The next prime is 2138683703791. The reversal of 2138683703713 is 3173073868312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1233325744704 + 905357959009 = 1110552^2 + 951503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138683703713 - 2²⁵ = 2138650149281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2138683703813) 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, 1069341851856 + 1069341851857.

It is an arithmetic number, because the mean of its divisors is an integer number (1069341851857).

Almost surely, 2^{2138683703713} is an apocalyptic number.

It is an amenable number.

2138683703713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138683703713 is an equidigital number, since it uses as much as digits as its factorization.

2138683703713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 2138683703713 in words is "two trillion, one hundred thirty-eight billion, six hundred eighty-three million, seven hundred three thousand, seven hundred thirteen".