102116013 has 32 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 61871040.

The previous prime is 102116011. The next prime is 102116023. The reversal of 102116013 is 310611201.

It is not a de Polignac number, because 102116013 - 2¹ = 102116011 is a prime.

It is a super-2 number, since 2×102116013² = 20855360222032338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102115983 and 102116001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116011) 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 31 ways as a sum of consecutive naturals, for example, 149170 + ... + 149852.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2^102116013 is an apocalyptic number.

It is an amenable number.

102116013 is a deficient number, since it is larger than the sum of its proper divisors (47160147).

102116013 is a wasteful number, since it uses less digits than its factorization.

102116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 102116013 is about 10105.2468054966. The cubic root of 102116013 is about 467.4099465271.

Adding to 102116013 its reverse (310611201), we get a palindrome (412727214).

The spelling of 102116013 in words is "one hundred two million, one hundred sixteen thousand, thirteen".