11102333113313 has 12 divisors (see below), whose sum is σ = 12022813121148. Its totient is φ = 10247659531200.

The previous prime is 11102333113297. The next prime is 11102333113423. The reversal of 11102333113313 is 31331133320111.

It can be written as a sum of positive squares in 6 ways, for example, as 1204060706209 + 9898272407104 = 1097297^2 + 3146152^2 .

It is not a de Polignac number, because 11102333113313 - 2⁴ = 11102333113297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11102333113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614363 + ... + 4752063.

It is an arithmetic number, because the mean of its divisors is an integer number (1001901093429).

Almost surely, 2^{11102333113313} is an apocalyptic number.

11102333113313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11102333113313 is a deficient number, since it is larger than the sum of its proper divisors (920480007835).

11102333113313 is a wasteful number, since it uses less digits than its factorization.

11102333113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153604 (or 4153591 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 11102333113313 its reverse (31331133320111), we get a palindrome (42433466433424).

The spelling of 11102333113313 in words is "eleven trillion, one hundred two billion, three hundred thirty-three million, one hundred thirteen thousand, three hundred thirteen".