11131301303101 has 12 divisors (see below), whose sum is σ = 13395162020220. Its totient is φ = 9212111422080.

The previous prime is 11131301303093. The next prime is 11131301303153. The reversal of 11131301303101 is 10130310313111.

It can be written as a sum of positive squares in 2 ways, for example, as 8703095910201 + 2428205392900 = 2950101^2 + 1558270^2 .

It is not a de Polignac number, because 11131301303101 - 2³ = 11131301303093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131331303101) 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 11 ways as a sum of consecutive naturals, for example, 3916712620 + ... + 3916715461.

It is an arithmetic number, because the mean of its divisors is an integer number (1116263501685).

Almost surely, 2^{11131301303101} is an apocalyptic number.

It is an amenable number.

11131301303101 is a deficient number, since it is larger than the sum of its proper divisors (2263860717119).

11131301303101 is an equidigital number, since it uses as much as digits as its factorization.

11131301303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833428124 (or 7833428117 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 11131301303101 its reverse (10130310313111), we get a palindrome (21261611616212).

The spelling of 11131301303101 in words is "eleven trillion, one hundred thirty-one billion, three hundred one million, three hundred three thousand, one hundred one".