11333101313 has 16 divisors (see below), whose sum is σ = 11878002000. Its totient is φ = 10798943232.

The previous prime is 11333101309. The next prime is 11333101321. The reversal of 11333101313 is 31310133311.

It can be written as a sum of positive squares in 8 ways, for example, as 1275418369 + 10057682944 = 35713^2 + 100288^2 .

It is a cyclic number.

It is not a de Polignac number, because 11333101313 - 2² = 11333101309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11333101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464731 + ... + 1472447.

It is an arithmetic number, because the mean of its divisors is an integer number (742375125).

Almost surely, 2^11333101313 is an apocalyptic number.

It is an amenable number.

11333101313 is a deficient number, since it is larger than the sum of its proper divisors (544900687).

11333101313 is an equidigital number, since it uses as much as digits as its factorization.

11333101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 11333101313 its reverse (31310133311), we get a palindrome (42643234624).

The spelling of 11333101313 in words is "eleven billion, three hundred thirty-three million, one hundred one thousand, three hundred thirteen".