11331131331303 has 40 divisors (see below), whose sum is σ = 19345295867040. Its totient is φ = 6474786010560.

The previous prime is 11331131331281. The next prime is 11331131331323. The reversal of 11331131331303 is 30313313113311.

11331131331303 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 11 + 313 + 31 + 303 = 666.

It is not a de Polignac number, because 11331131331303 - 2¹⁰ = 11331131330279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131331323) 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 39 ways as a sum of consecutive naturals, for example, 28029673 + ... + 28431053.

It is an arithmetic number, because the mean of its divisors is an integer number (483632396676).

Almost surely, 2^{11331131331303} is an apocalyptic number.

11331131331303 is a deficient number, since it is larger than the sum of its proper divisors (8014164535737).

11331131331303 is an equidigital number, since it uses as much as digits as its factorization.

11331131331303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451189 (or 451180 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 11331131331303 its reverse (30313313113311), we get a palindrome (41644444444614).

The spelling of 11331131331303 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred three".