31105132066553 has 2 divisors, whose sum is σ = 31105132066554. Its totient is φ = 31105132066552.

The previous prime is 31105132066531. The next prime is 31105132066583. The reversal of 31105132066553 is 35566023150113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30548038512784 + 557093553769 = 5527028^2 + 746387^2 .

It is an emirp because it is prime and its reverse (35566023150113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31105132066553 - 2¹⁴ = 31105132050169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31105132066553.

It is not a weakly prime, because it can be changed into another prime (31105132066583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15552566033276 + 15552566033277.

It is an arithmetic number, because the mean of its divisors is an integer number (15552566033277).

Almost surely, 2^{31105132066553} is an apocalyptic number.

It is an amenable number.

31105132066553 is a deficient number, since it is larger than the sum of its proper divisors (1).

31105132066553 is an equidigital number, since it uses as much as digits as its factorization.

31105132066553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 31105132066553 in words is "thirty-one trillion, one hundred five billion, one hundred thirty-two million, sixty-six thousand, five hundred fifty-three".