102102112313 has 8 divisors (see below), whose sum is σ = 104943793032. Its totient is φ = 99264756096.

The previous prime is 102102112309. The next prime is 102102112339. The reversal of 102102112313 is 313211201201.

It can be written as a sum of positive squares in 4 ways, for example, as 37823637289 + 64278475024 = 194483^2 + 253532^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102102112313 - 2² = 102102112309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102112291 and 102102112300.

It is not an unprimeable number, because it can be changed into a prime (102102112393) 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, 1033220 + ... + 1127717.

It is an arithmetic number, because the mean of its divisors is an integer number (13117974129).

Almost surely, 2^102102112313 is an apocalyptic number.

It is an amenable number.

102102112313 is a deficient number, since it is larger than the sum of its proper divisors (2841680719).

102102112313 is a wasteful number, since it uses less digits than its factorization.

102102112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162251.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102102112313 its reverse (313211201201), we get a palindrome (415313313514).

The spelling of 102102112313 in words is "one hundred two billion, one hundred two million, one hundred twelve thousand, three hundred thirteen".