11102303310213 has 16 divisors (see below), whose sum is σ = 14830516281152. Its totient is φ = 7387815600000.

The previous prime is 11102303310187. The next prime is 11102303310221. The reversal of 11102303310213 is 31201330320111.

It is a happy number.

It is not a de Polignac number, because 11102303310213 - 2¹⁶ = 11102303244677 is a prime.

It is a super-3 number, since 3×11102303310213³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11102303310213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102303310223) 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 in 15 ways as a sum of consecutive naturals, for example, 16633113 + ... + 17287713.

It is an arithmetic number, because the mean of its divisors is an integer number (926907267572).

Almost surely, 2^{11102303310213} is an apocalyptic number.

It is an amenable number.

11102303310213 is a deficient number, since it is larger than the sum of its proper divisors (3728212970939).

11102303310213 is an equidigital number, since it uses as much as digits as its factorization.

11102303310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665076.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11102303310213 its reverse (31201330320111), we get a palindrome (42303633630324).

The spelling of 11102303310213 in words is "eleven trillion, one hundred two billion, three hundred three million, three hundred ten thousand, two hundred thirteen".