11331131032013 has 16 divisors (see below), whose sum is σ = 12558085550976. Its totient is φ = 10156089303360.

The previous prime is 11331131031991. The next prime is 11331131032019. The reversal of 11331131032013 is 31023013113311.

It is not a de Polignac number, because 11331131032013 - 2⁸ = 11331131031757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131032019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23753081 + ... + 24225422.

It is an arithmetic number, because the mean of its divisors is an integer number (784880346936).

Almost surely, 2^{11331131032013} is an apocalyptic number.

11331131032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331131032013 is a deficient number, since it is larger than the sum of its proper divisors (1226954518963).

11331131032013 is a wasteful number, since it uses less digits than its factorization.

11331131032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47979044.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331131032013 its reverse (31023013113311), we get a palindrome (42354144145324).

The spelling of 11331131032013 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirty-two thousand, thirteen".