11331331311131 has 12 divisors (see below), whose sum is σ = 12555370823688. Its totient is φ = 10216441819584.

The previous prime is 11331331311121. The next prime is 11331331311149. The reversal of 11331331311131 is 13111313313311.

It is not a de Polignac number, because 11331331311131 - 2¹⁰ = 11331331310107 is a prime.

It is a super-2 number, since 2×11331331311131² (a number of 27 digits) contains 22 as substring.

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 11331331311131.

It is not an unprimeable number, because it can be changed into a prime (11331331311121) 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, 779635730 + ... + 779650263.

It is an arithmetic number, because the mean of its divisors is an integer number (1046280901974).

Almost surely, 2^{11331331311131} is an apocalyptic number.

11331331311131 is a deficient number, since it is larger than the sum of its proper divisors (1224039512557).

11331331311131 is a wasteful number, since it uses less digits than its factorization.

11331331311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559286062 (or 1559286049 counting only the distinct ones).

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

Adding to 11331331311131 its reverse (13111313313311), we get a palindrome (24442644624442).

The spelling of 11331331311131 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, one hundred thirty-one".