128381037118553 has 2 divisors, whose sum is σ = 128381037118554. Its totient is φ = 128381037118552.

The previous prime is 128381037118549. The next prime is 128381037118559. The reversal of 128381037118553 is 355811730183821.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127804110282304 + 576926836249 = 11305048^2 + 759557^2 .

It is an emirp because it is prime and its reverse (355811730183821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 128381037118553 - 2² = 128381037118549 is a prime.

It is a super-3 number, since 3×128381037118553³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (128381037118559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64190518559276 + 64190518559277.

It is an arithmetic number, because the mean of its divisors is an integer number (64190518559277).

Almost surely, 2^{128381037118553} is an apocalyptic number.

It is an amenable number.

128381037118553 is a deficient number, since it is larger than the sum of its proper divisors (1).

128381037118553 is an equidigital number, since it uses as much as digits as its factorization.

128381037118553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 128381037118553 in words is "one hundred twenty-eight trillion, three hundred eighty-one billion, thirty-seven million, one hundred eighteen thousand, five hundred fifty-three".