83118036061121 has 2 divisors, whose sum is σ = 83118036061122. Its totient is φ = 83118036061120.

The previous prime is 83118036061097. The next prime is 83118036061127. The reversal of 83118036061121 is 12116063081138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74237868499600 + 8880167561521 = 8616140^2 + 2979961^2 .

It is a cyclic number.

It is not a de Polignac number, because 83118036061121 - 2²² = 83118031866817 is a prime.

It is not a weakly prime, because it can be changed into another prime (83118036061127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41559018030560 + 41559018030561.

It is an arithmetic number, because the mean of its divisors is an integer number (41559018030561).

Almost surely, 2^{83118036061121} is an apocalyptic number.

It is an amenable number.

83118036061121 is a deficient number, since it is larger than the sum of its proper divisors (1).

83118036061121 is an equidigital number, since it uses as much as digits as its factorization.

83118036061121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 83118036061121 in words is "eighty-three trillion, one hundred eighteen billion, thirty-six million, sixty-one thousand, one hundred twenty-one".