11331002322133 has 8 divisors (see below), whose sum is σ = 12205539327128. Its totient is φ = 10456882665984.

The previous prime is 11331002322127. The next prime is 11331002322197. The reversal of 11331002322133 is 33122320013311.

11331002322133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3589213608484 + 7741788713649 = 1894522^2 + 2782407^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11331002322133 is a prime.

It is a super-2 number, since 2×11331002322133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331002322098 and 11331002322107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331002322433) 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, 104280816 + ... + 104389417.

It is an arithmetic number, because the mean of its divisors is an integer number (1525692415891).

Almost surely, 2^{11331002322133} is an apocalyptic number.

11331002322133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331002322133 is a deficient number, since it is larger than the sum of its proper divisors (874537004995).

11331002322133 is a wasteful number, since it uses less digits than its factorization.

11331002322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208674423.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 11331002322133 its reverse (33122320013311), we get a palindrome (44453322335444).

The spelling of 11331002322133 in words is "eleven trillion, three hundred thirty-one billion, two million, three hundred twenty-two thousand, one hundred thirty-three".