11131306546641 has 8 divisors (see below), whose sum is σ = 15157523808384. Its totient is φ = 7262980158000.

The previous prime is 11131306546609. The next prime is 11131306546667. The reversal of 11131306546641 is 14664560313111.

It is a happy number.

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

It is not a de Polignac number, because 11131306546641 - 2⁵ = 11131306546609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131306546593 and 11131306546602.

It is not an unprimeable number, because it can be changed into a prime (11131306536641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39472718110 + ... + 39472718391.

It is an arithmetic number, because the mean of its divisors is an integer number (1894690476048).

Almost surely, 2^{11131306546641} is an apocalyptic number.

It is an amenable number.

11131306546641 is a deficient number, since it is larger than the sum of its proper divisors (4026217261743).

11131306546641 is an equidigital number, since it uses as much as digits as its factorization.

11131306546641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78945436551.

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 11131306546641 its reverse (14664560313111), we get a palindrome (25795866859752).

The spelling of 11131306546641 in words is "eleven trillion, one hundred thirty-one billion, three hundred six million, five hundred forty-six thousand, six hundred forty-one".