11331123313133 has 8 divisors (see below), whose sum is σ = 12202885297176. Its totient is φ = 10459380916800.

The previous prime is 11331123313127. The next prime is 11331123313163. The reversal of 11331123313133 is 33131332113311.

It can be written as a sum of positive squares in 4 ways, for example, as 348971384644 + 10982151928489 = 590738^2 + 3313933^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11331123313133 - 2¹⁴ = 11331123296749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331123313096 and 11331123313105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331123313163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3684338 + ... + 6019683.

It is an arithmetic number, because the mean of its divisors is an integer number (1525360662147).

Almost surely, 2^{11331123313133} is an apocalyptic number.

11331123313133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331123313133 is a deficient number, since it is larger than the sum of its proper divisors (871761984043).

11331123313133 is an equidigital number, since it uses as much as digits as its factorization.

11331123313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793855.

The product of its digits is 4374, while the sum is 29.

Adding to 11331123313133 its reverse (33131332113311), we get a palindrome (44462455426444).

The spelling of 11331123313133 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-three".