11101617819583 has 2 divisors, whose sum is σ = 11101617819584. Its totient is φ = 11101617819582.

The previous prime is 11101617819557. The next prime is 11101617819601. The reversal of 11101617819583 is 38591871610111.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11101617819583 - 2²⁵ = 11101584265151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11101617819583.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101617819503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550808909791 + 5550808909792.

It is an arithmetic number, because the mean of its divisors is an integer number (5550808909792).

Almost surely, 2^{11101617819583} is an apocalyptic number.

11101617819583 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101617819583 is an equidigital number, since it uses as much as digits as its factorization.

11101617819583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 52.

The spelling of 11101617819583 in words is "eleven trillion, one hundred one billion, six hundred seventeen million, eight hundred nineteen thousand, five hundred eighty-three".