11330213121233 has 48 divisors (see below), whose sum is σ = 11886409036656. Its totient is φ = 10796605747200.

The previous prime is 11330213121229. The next prime is 11330213121251. The reversal of 11330213121233 is 33212131203311.

It can be written as a sum of positive squares in 24 ways, for example, as 109106677969 + 11221106443264 = 330313^2 + 3349792^2 .

It is not a de Polignac number, because 11330213121233 - 2² = 11330213121229 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11330213121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080017741 + ... + 4080020517.

It is an arithmetic number, because the mean of its divisors is an integer number (247633521597).

Almost surely, 2^{11330213121233} is an apocalyptic number.

It is an amenable number.

11330213121233 is a deficient number, since it is larger than the sum of its proper divisors (556195915423).

11330213121233 is a wasteful number, since it uses less digits than its factorization.

11330213121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11330213121233 its reverse (33212131203311), we get a palindrome (44542344324544).

The spelling of 11330213121233 in words is "eleven trillion, three hundred thirty billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-three".