102122101313 has 8 divisors (see below), whose sum is σ = 102230222376. Its totient is φ = 102014035200.

The previous prime is 102122101283. The next prime is 102122101343. The reversal of 102122101313 is 313101221201.

It is an interprime number because it is at equal distance from previous prime (102122101283) and next prime (102122101343).

It can be written as a sum of positive squares in 4 ways, for example, as 80172789904 + 21949311409 = 283148^2 + 148153^2 .

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 102122101313 - 2⁸ = 102122101057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102122101291 and 102122101300.

It is not an unprimeable number, because it can be changed into a prime (102122101343) 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, 4436153 + ... + 4459113.

It is an arithmetic number, because the mean of its divisors is an integer number (12778777797).

Almost surely, 2^102122101313 is an apocalyptic number.

It is an amenable number.

102122101313 is a deficient number, since it is larger than the sum of its proper divisors (108121063).

102122101313 is a wasteful number, since it uses less digits than its factorization.

102122101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27475.

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

Adding to 102122101313 its reverse (313101221201), we get a palindrome (415223322514).

The spelling of 102122101313 in words is "one hundred two billion, one hundred twenty-two million, one hundred one thousand, three hundred thirteen".