30771438100993 has 2 divisors, whose sum is σ = 30771438100994. Its totient is φ = 30771438100992.

The previous prime is 30771438100973. The next prime is 30771438100999. The reversal of 30771438100993 is 39900183417703.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20352080323584 + 10419357777409 = 4511328^2 + 3227903^2 .

It is a cyclic number.

It is not a de Polignac number, because 30771438100993 - 2⁵ = 30771438100961 is a prime.

It is not a weakly prime, because it can be changed into another prime (30771438100999) 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, 15385719050496 + 15385719050497.

It is an arithmetic number, because the mean of its divisors is an integer number (15385719050497).

Almost surely, 2^{30771438100993} is an apocalyptic number.

It is an amenable number.

30771438100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

30771438100993 is an equidigital number, since it uses as much as digits as its factorization.

30771438100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 30771438100993 in words is "thirty trillion, seven hundred seventy-one billion, four hundred thirty-eight million, one hundred thousand, nine hundred ninety-three".