11133020132311 has 24 divisors (see below), whose sum is σ = 14008639042944. Its totient is φ = 8595492020640.

The previous prime is 11133020132309. The next prime is 11133020132369. The reversal of 11133020132311 is 11323102033111.

It is not a de Polignac number, because 11133020132311 - 2¹ = 11133020132309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133020172311) 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 23 ways as a sum of consecutive naturals, for example, 5169865 + ... + 6999538.

It is an arithmetic number, because the mean of its divisors is an integer number (583693293456).

Almost surely, 2^{11133020132311} is an apocalyptic number.

11133020132311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11133020132311 is a deficient number, since it is larger than the sum of its proper divisors (2875618910633).

11133020132311 is a wasteful number, since it uses less digits than its factorization.

11133020132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169639 (or 12169530 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11133020132311 its reverse (11323102033111), we get a palindrome (22456122165422).

The spelling of 11133020132311 in words is "eleven trillion, one hundred thirty-three billion, twenty million, one hundred thirty-two thousand, three hundred eleven".