102320010013 has 8 divisors (see below), whose sum is σ = 110892634328. Its totient is φ = 93847650624.

The previous prime is 102320009999. The next prime is 102320010103. The reversal of 102320010013 is 310010023201.

It can be written as a sum of positive squares in 4 ways, for example, as 2126869924 + 100193140089 = 46118^2 + 316533^2 .

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

It is not a de Polignac number, because 102320010013 - 2³³ = 93730075421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102320009975 and 102320010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320017013) 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, 25064106 + ... + 25068187.

It is an arithmetic number, because the mean of its divisors is an integer number (13861579291).

Almost surely, 2^102320010013 is an apocalyptic number.

102320010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102320010013 is a deficient number, since it is larger than the sum of its proper divisors (8572624315).

102320010013 is a wasteful number, since it uses less digits than its factorization.

102320010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50132463.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102320010013 its reverse (310010023201), we get a palindrome (412330033214).

The spelling of 102320010013 in words is "one hundred two billion, three hundred twenty million, ten thousand, thirteen".