102013102113 has 8 divisors (see below), whose sum is σ = 146480351808. Its totient is φ = 62777293584.

The previous prime is 102013102109. The next prime is 102013102117. The reversal of 102013102113 is 311201310201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102013102109) and next prime (102013102117).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102013102113 - 2² = 102013102109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102013102092 and 102013102101.

It is not an unprimeable number, because it can be changed into a prime (102013102117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307860245 + ... + 1307860322.

It is an arithmetic number, because the mean of its divisors is an integer number (18310043976).

Almost surely, 2^102013102113 is an apocalyptic number.

102013102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102013102113 is a deficient number, since it is larger than the sum of its proper divisors (44467249695).

102013102113 is a wasteful number, since it uses less digits than its factorization.

102013102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615720583.

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

Adding to 102013102113 its reverse (311201310201), we get a palindrome (413214412314).

The spelling of 102013102113 in words is "one hundred two billion, thirteen million, one hundred two thousand, one hundred thirteen".