11123100033313 has 2 divisors, whose sum is σ = 11123100033314. Its totient is φ = 11123100033312.

The previous prime is 11123100033289. The next prime is 11123100033343. The reversal of 11123100033313 is 31333000132111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8245897035489 + 2877202997824 = 2871567^2 + 1696232^2 .

It is a cyclic number.

It is not a de Polignac number, because 11123100033313 - 2²¹ = 11123097936161 is a prime.

It is not a weakly prime, because it can be changed into another prime (11123100033343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561550016656 + 5561550016657.

It is an arithmetic number, because the mean of its divisors is an integer number (5561550016657).

Almost surely, 2^{11123100033313} is an apocalyptic number.

It is an amenable number.

11123100033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11123100033313 is an equidigital number, since it uses as much as digits as its factorization.

11123100033313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11123100033313 its reverse (31333000132111), we get a palindrome (42456100165424).

The spelling of 11123100033313 in words is "eleven trillion, one hundred twenty-three billion, one hundred million, thirty-three thousand, three hundred thirteen".