1102100213313 has 80 divisors (see below), whose sum is σ = 1821475408896. Its totient is φ = 658528328160.

The previous prime is 1102100213303. The next prime is 1102100213339. The reversal of 1102100213313 is 3133120012011.

It is not a de Polignac number, because 1102100213313 - 2⁸ = 1102100213057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102100213303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20806020 + ... + 20858922.

Almost surely, 2^{1102100213313} is an apocalyptic number.

It is an amenable number.

1102100213313 is a deficient number, since it is larger than the sum of its proper divisors (719375195583).

1102100213313 is a wasteful number, since it uses less digits than its factorization.

1102100213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53256 (or 53247 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1102100213313 its reverse (3133120012011), we get a palindrome (4235220225324).

The spelling of 1102100213313 in words is "one trillion, one hundred two billion, one hundred million, two hundred thirteen thousand, three hundred thirteen".