11331131133113 has 16 divisors (see below), whose sum is σ = 12412160349120. Its totient is φ = 10258607923200.

The previous prime is 11331131133079. The next prime is 11331131133193. The reversal of 11331131133113 is 31133113113311.

11331131133113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11331131133113 - 2¹⁴ = 11331131116729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11331131133193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12009698 + ... + 12918788.

It is an arithmetic number, because the mean of its divisors is an integer number (775760021820).

Almost surely, 2^{11331131133113} is an apocalyptic number.

It is an amenable number.

11331131133113 is a deficient number, since it is larger than the sum of its proper divisors (1081029216007).

11331131133113 is a wasteful number, since it uses less digits than its factorization.

11331131133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913768.

The product of its digits is 729, while the sum is 26.

Adding to 11331131133113 its reverse (31133113113311), we get a palindrome (42464244246424).

It can be divided in two parts, 1133113113311 and 3, that multiplied together give a palindrome (3399339339933).

The spelling of 11331131133113 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred thirteen".