11563105314133 has 8 divisors (see below), whose sum is σ = 11589109090200. Its totient is φ = 11537102653440.

The previous prime is 11563105314113. The next prime is 11563105314143. The reversal of 11563105314133 is 33141350136511.

It can be written as a sum of positive squares in 4 ways, for example, as 1126703700369 + 10436401613764 = 1061463^2 + 3230542^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11563105314133 - 2⁹ = 11563105313621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11563105314092 and 11563105314101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563105314113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22581603 + ... + 23087983.

It is an arithmetic number, because the mean of its divisors is an integer number (1448638636275).

Almost surely, 2^{11563105314133} is an apocalyptic number.

It is an amenable number.

11563105314133 is a deficient number, since it is larger than the sum of its proper divisors (26003776067).

11563105314133 is an equidigital number, since it uses as much as digits as its factorization.

11563105314133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557687.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 11563105314133 in words is "eleven trillion, five hundred sixty-three billion, one hundred five million, three hundred fourteen thousand, one hundred thirty-three".