1102131213313 has 16 divisors (see below), whose sum is σ = 1227922330320. Its totient is φ = 982203715584.

The previous prime is 1102131213289. The next prime is 1102131213317. The reversal of 1102131213313 is 3133121312011.

It can be written as a sum of positive squares in 8 ways, for example, as 112219640064 + 989911573249 = 334992^2 + 994943^2 .

It is not a de Polignac number, because 1102131213313 - 2⁹ = 1102131212801 is a prime.

It is a super-2 number, since 2×1102131213313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102131213317) 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, 5907345 + ... + 6091057.

It is an arithmetic number, because the mean of its divisors is an integer number (76745145645).

Almost surely, 2^{1102131213313} is an apocalyptic number.

1102131213313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1102131213313 is a deficient number, since it is larger than the sum of its proper divisors (125791117007).

1102131213313 is a wasteful number, since it uses less digits than its factorization.

1102131213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199668.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1102131213313 its reverse (3133121312011), we get a palindrome (4235252525324).

The spelling of 1102131213313 in words is "one trillion, one hundred two billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".