11331131122233 has 12 divisors (see below), whose sum is σ = 17626203968100. Its totient is φ = 6973003767456.

The previous prime is 11331131122183. The next prime is 11331131122247. The reversal of 11331131122233 is 33222113113311.

11331131122233 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 3 + 112 + 2 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6811097796864 + 4520033325369 = 2609808^2 + 2126037^2 .

It is not a de Polignac number, because 11331131122233 - 2¹⁶ = 11331131056697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331131122197 and 11331131122206.

It is not an unprimeable number, because it can be changed into a prime (11331131122253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48423637158 + ... + 48423637391.

It is an arithmetic number, because the mean of its divisors is an integer number (1468850330675).

Almost surely, 2^{11331131122233} is an apocalyptic number.

11331131122233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331131122233 is a deficient number, since it is larger than the sum of its proper divisors (6295072845867).

11331131122233 is a wasteful number, since it uses less digits than its factorization.

11331131122233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96847274568 (or 96847274565 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331131122233 its reverse (33222113113311), we get a palindrome (44553244235544).

The spelling of 11331131122233 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty-three".