102223130013 has 48 divisors (see below), whose sum is σ = 153146785792. Its totient is φ = 65636244000.

The previous prime is 102223129979. The next prime is 102223130027. The reversal of 102223130013 is 310031322201.

It is not a de Polignac number, because 102223130013 - 2¹⁸ = 102222867869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223130033) 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 47 ways as a sum of consecutive naturals, for example, 83040108 + ... + 83041338.

Almost surely, 2^102223130013 is an apocalyptic number.

It is an amenable number.

102223130013 is a deficient number, since it is larger than the sum of its proper divisors (50923655779).

102223130013 is a wasteful number, since it uses less digits than its factorization.

102223130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102223130013 its reverse (310031322201), we get a palindrome (412254452214).

The spelling of 102223130013 in words is "one hundred two billion, two hundred twenty-three million, one hundred thirty thousand, thirteen".