11330003311133 has 16 divisors (see below), whose sum is σ = 12224969426880. Its totient is φ = 10438389945984.

The previous prime is 11330003311129. The next prime is 11330003311183. The reversal of 11330003311133 is 33111330003311.

It is not a de Polignac number, because 11330003311133 - 2² = 11330003311129 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11330003311099 and 11330003311108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330003311103) 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 15 ways as a sum of consecutive naturals, for example, 46650110 + ... + 46892352.

It is an arithmetic number, because the mean of its divisors is an integer number (764060589180).

Almost surely, 2^{11330003311133} is an apocalyptic number.

11330003311133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11330003311133 is a deficient number, since it is larger than the sum of its proper divisors (894966115747).

11330003311133 is a wasteful number, since it uses less digits than its factorization.

11330003311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249148.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 11330003311133 its reverse (33111330003311), we get a palindrome (44441333314444).

The spelling of 11330003311133 in words is "eleven trillion, three hundred thirty billion, three million, three hundred eleven thousand, one hundred thirty-three".