11331131130013 has 16 divisors (see below), whose sum is σ = 11557631804400. Its totient is φ = 11105969172480.

The previous prime is 11331131129957. The next prime is 11331131130031. The reversal of 11331131130013 is 31003113113311.

It can be written as a sum of positive squares in 8 ways, for example, as 9157874335204 + 2173256794809 = 3026198^2 + 1474197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11331131130013 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 (11331131130113) 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, 56587173 + ... + 56787061.

It is an arithmetic number, because the mean of its divisors is an integer number (722351987775).

Almost surely, 2^{11331131130013} is an apocalyptic number.

It is an amenable number.

11331131130013 is a deficient number, since it is larger than the sum of its proper divisors (226500674387).

11331131130013 is a wasteful number, since it uses less digits than its factorization.

11331131130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203232.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 11331131130013 its reverse (31003113113311), we get a palindrome (42334244243324).

The spelling of 11331131130013 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thirty thousand, thirteen".