137808065332213 has 2 divisors, whose sum is σ = 137808065332214. Its totient is φ = 137808065332212.

The previous prime is 137808065332211. The next prime is 137808065332229. The reversal of 137808065332213 is 312233560808731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135883014530769 + 1925050801444 = 11656887^2 + 1387462^2 .

It is a cyclic number.

It is not a de Polignac number, because 137808065332213 - 2¹ = 137808065332211 is a prime.

Together with 137808065332211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137808065332211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68904032666106 + 68904032666107.

It is an arithmetic number, because the mean of its divisors is an integer number (68904032666107).

Almost surely, 2^{137808065332213} is an apocalyptic number.

It is an amenable number.

137808065332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

137808065332213 is an equidigital number, since it uses as much as digits as its factorization.

137808065332213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 137808065332213 in words is "one hundred thirty-seven trillion, eight hundred eight billion, sixty-five million, three hundred thirty-two thousand, two hundred thirteen".