13782100129781 has 2 divisors, whose sum is σ = 13782100129782. Its totient is φ = 13782100129780.

The previous prime is 13782100129757. The next prime is 13782100129843. The reversal of 13782100129781 is 18792100128731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11465740932100 + 2316359197681 = 3386110^2 + 1521959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13782100129781 is a prime.

It is a super-2 number, since 2×13782100129781² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13782100159781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891050064890 + 6891050064891.

It is an arithmetic number, because the mean of its divisors is an integer number (6891050064891).

Almost surely, 2^{13782100129781} is an apocalyptic number.

It is an amenable number.

13782100129781 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782100129781 is an equidigital number, since it uses as much as digits as its factorization.

13782100129781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 50.

The spelling of 13782100129781 in words is "thirteen trillion, seven hundred eighty-two billion, one hundred million, one hundred twenty-nine thousand, seven hundred eighty-one".