11323355332311 has 384 divisors, whose sum is σ = 19875421163520. Its totient is φ = 6142169088000.

The previous prime is 11323355332277. The next prime is 11323355332339.

11323355332311 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 3 + 5 + 5 + 332 + 311 = 666.

11323355332311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11323355332311 - 2⁷ = 11323355332183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323355332411) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74989108086 + ... + 74989108236.

It is an arithmetic number, because the mean of its divisors is an integer number (51758909280).

Almost surely, 2^{11323355332311} is an apocalyptic number.

11323355332311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11323355332311 is a deficient number, since it is larger than the sum of its proper divisors (8552065831209).

11323355332311 is a wasteful number, since it uses less digits than its factorization.

11323355332311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 524 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 1132335 and 5332311, that added together give a palindrome (6464646).

The spelling of 11323355332311 in words is "eleven trillion, three hundred twenty-three billion, three hundred fifty-five million, three hundred thirty-two thousand, three hundred eleven".